WEBVTT

00:00:00.000 --> 00:00:01.988 align:middle line:90%
[SQUEAKING]

00:00:01.988 --> 00:00:03.476 align:middle line:90%
[RUSTLING]

00:00:03.476 --> 00:00:05.956 align:middle line:90%
[CLICKING]

00:00:05.956 --> 00:00:17.000 align:middle line:90%


00:00:17.000 --> 00:00:18.693 align:middle line:84%
JUEJUN HU: OK, so
in the last lecture,

00:00:18.693 --> 00:00:20.360 align:middle line:84%
we talked about
essentially the material

00:00:20.360 --> 00:00:22.980 align:middle line:84%
that you use to make
the breakable screens.

00:00:22.980 --> 00:00:26.060 align:middle line:84%
[LAUGHS] So essentially,
Gorilla glass, right?

00:00:26.060 --> 00:00:28.840 align:middle line:84%
But there are also a lot of
other competing glass materials

00:00:28.840 --> 00:00:31.880 align:middle line:84%
from other companies essentially
exhibiting similar properties.

00:00:31.880 --> 00:00:34.480 align:middle line:84%
The whole idea is that you
do this ion exchange to get

00:00:34.480 --> 00:00:37.200 align:middle line:84%
a very large surface
compressive stress, which

00:00:37.200 --> 00:00:40.960 align:middle line:84%
helps you to essentially
prevent the crack propagation.

00:00:40.960 --> 00:00:43.440 align:middle line:84%
Now, I just want to
start by mentioning

00:00:43.440 --> 00:00:46.420 align:middle line:84%
that this ion exchange process
does a couple of things.

00:00:46.420 --> 00:00:50.462 align:middle line:90%


00:00:50.462 --> 00:00:51.920 align:middle line:84%
OK, what I'm showing
you here, this

00:00:51.920 --> 00:00:56.120 align:middle line:84%
is the Weibull plot
of essentially glasses

00:00:56.120 --> 00:00:58.738 align:middle line:84%
with and without the
ion exchange process.

00:00:58.738 --> 00:01:00.280 align:middle line:84%
So if you look at
Weibull plot, there

00:01:00.280 --> 00:01:01.840 align:middle line:84%
are two things
you can tell here.

00:01:01.840 --> 00:01:04.720 align:middle line:84%
One is that the
curve gets shifted

00:01:04.720 --> 00:01:09.480 align:middle line:84%
towards the right side for the
chemically strengthened glass,

00:01:09.480 --> 00:01:14.880 align:middle line:84%
which indicates that you
have now a higher strength.

00:01:14.880 --> 00:01:16.760 align:middle line:84%
It can withstand
essentially higher stress

00:01:16.760 --> 00:01:17.660 align:middle line:90%
without fracturing.

00:01:17.660 --> 00:01:18.880 align:middle line:90%
Makes sense, right?

00:01:18.880 --> 00:01:22.840 align:middle line:84%
Now the second thing is you
notice the slope of the line.

00:01:22.840 --> 00:01:25.800 align:middle line:90%
The slope of the line increases.

00:01:25.800 --> 00:01:28.040 align:middle line:84%
If you remember, the
slope essentially

00:01:28.040 --> 00:01:30.560 align:middle line:84%
corresponds to the
Weibull modulus.

00:01:30.560 --> 00:01:34.640 align:middle line:84%
And the larger the modulus,
the more consistent

00:01:34.640 --> 00:01:35.820 align:middle line:90%
the glass material is.

00:01:35.820 --> 00:01:37.737 align:middle line:84%
Essentially, it means
that the glass material,

00:01:37.737 --> 00:01:39.920 align:middle line:84%
they have a much narrower
distribution of defects.

00:01:39.920 --> 00:01:42.100 align:middle line:84%
So that's also
what's shown here.

00:01:42.100 --> 00:01:44.540 align:middle line:84%
Essentially, with the
ion exchange process,

00:01:44.540 --> 00:01:48.200 align:middle line:84%
it essentially will give you
a more reproducible or more

00:01:48.200 --> 00:01:51.955 align:middle line:84%
consistent product finish
compared to untreated.

00:01:51.955 --> 00:01:53.580 align:middle line:84%
If it's just a regular
soda lime glass,

00:01:53.580 --> 00:01:55.640 align:middle line:84%
it's a much wider
distribution of defects

00:01:55.640 --> 00:01:57.700 align:middle line:90%
in terms of size and severity.

00:01:57.700 --> 00:02:01.600 align:middle line:90%


00:02:01.600 --> 00:02:05.260 align:middle line:84%
So that's why people like to
use these strengthened glasses,

00:02:05.260 --> 00:02:08.620 align:middle line:84%
which is now a standard on most
consumer electronic products.

00:02:08.620 --> 00:02:10.259 align:middle line:84%
They are the cover
glass materials.

00:02:10.259 --> 00:02:14.160 align:middle line:84%
Now, next thing I want to
do, I want to actually draw

00:02:14.160 --> 00:02:15.720 align:middle line:90%
a little comparison.

00:02:15.720 --> 00:02:20.585 align:middle line:84%
Glasses do not come
without competitors.

00:02:20.585 --> 00:02:21.960 align:middle line:84%
For a long time,
people have been

00:02:21.960 --> 00:02:24.220 align:middle line:84%
talking about alternative
carbon materials.

00:02:24.220 --> 00:02:27.400 align:middle line:84%
And sapphire is the one
that really stands out.

00:02:27.400 --> 00:02:30.180 align:middle line:84%
In fact, if you go
back about 10 years,

00:02:30.180 --> 00:02:32.240 align:middle line:84%
there was a lot of
discussions about Apple

00:02:32.240 --> 00:02:39.340 align:middle line:84%
is going to switch to sapphire
in the iPhone cover materials.

00:02:39.340 --> 00:02:43.440 align:middle line:84%
If you look back in like 2014,
2015-ish kind of time frame,

00:02:43.440 --> 00:02:47.760 align:middle line:84%
Apple actually invested in
a company, this one, GT ASF,

00:02:47.760 --> 00:02:49.220 align:middle line:90%
GT Advanced Materials.

00:02:49.220 --> 00:02:51.500 align:middle line:84%
The link is actually
no longer working,

00:02:51.500 --> 00:02:54.440 align:middle line:84%
but I decided to leave it there
because the company has already

00:02:54.440 --> 00:02:56.240 align:middle line:90%
been acquired.

00:02:56.240 --> 00:02:58.950 align:middle line:84%
So Apple actually invested in
that company several hundred

00:02:58.950 --> 00:03:02.590 align:middle line:84%
of millions of dollars just
to essentially crank up

00:03:02.590 --> 00:03:06.050 align:middle line:84%
the manufacturing capability
for sapphire screens.

00:03:06.050 --> 00:03:07.955 align:middle line:84%
It unfortunately did
not really work out.

00:03:07.955 --> 00:03:09.830 align:middle line:84%
If you look back the
news, there was actually

00:03:09.830 --> 00:03:13.910 align:middle line:84%
a lot of drama in
that whole deal there.

00:03:13.910 --> 00:03:16.990 align:middle line:84%
The company eventually
filed for bankruptcy,

00:03:16.990 --> 00:03:19.362 align:middle line:84%
but it doesn't mean that
sapphire is going away.

00:03:19.362 --> 00:03:21.570 align:middle line:84%
Apple still uses sapphire
for some of their products,

00:03:21.570 --> 00:03:23.510 align:middle line:90%
especially Apple Watch.

00:03:23.510 --> 00:03:26.730 align:middle line:84%
So any of you have
the Apple Watch?

00:03:26.730 --> 00:03:27.230 align:middle line:90%
No?

00:03:27.230 --> 00:03:28.353 align:middle line:90%
Just one, OK.

00:03:28.353 --> 00:03:29.770 align:middle line:84%
I don't know which
model you have.

00:03:29.770 --> 00:03:31.430 align:middle line:90%
AUDIENCE: It's old.

00:03:31.430 --> 00:03:32.180 align:middle line:90%
JUEJUN HU: OK.

00:03:32.180 --> 00:03:35.030 align:middle line:84%
[LAUGHS] They have
essentially two product lines.

00:03:35.030 --> 00:03:36.810 align:middle line:90%
One is the lower-end model.

00:03:36.810 --> 00:03:38.390 align:middle line:90%
They use aluminum casing.

00:03:38.390 --> 00:03:41.310 align:middle line:84%
On that one, they still
use the strengthened glass.

00:03:41.310 --> 00:03:42.770 align:middle line:84%
They also have a
higher-end model

00:03:42.770 --> 00:03:45.190 align:middle line:84%
that uses either stainless
steel or titanium.

00:03:45.190 --> 00:03:46.930 align:middle line:90%
That one-- sapphire screen.

00:03:46.930 --> 00:03:50.330 align:middle line:84%
I don't know which one you have,
but you can try to scratch it.

00:03:50.330 --> 00:03:50.830 align:middle line:90%
No.

00:03:50.830 --> 00:03:53.370 align:middle line:84%
[LAUGHS] If you scratch it
and it leaves a scratch, then

00:03:53.370 --> 00:03:53.870 align:middle line:90%
it's glass.

00:03:53.870 --> 00:03:54.530 align:middle line:90%
No, don't try it.

00:03:54.530 --> 00:03:55.550 align:middle line:84%
AUDIENCE: It's pretty
scratched, so I'm

00:03:55.550 --> 00:03:56.850 align:middle line:90%
going to say is not sapphire.

00:03:56.850 --> 00:03:58.510 align:middle line:84%
JUEJUN HU: It's
probably glass, then.

00:03:58.510 --> 00:03:59.170 align:middle line:90%
Don't try it.

00:03:59.170 --> 00:04:01.670 align:middle line:84%
That's the best way to create
surface defect that eventually

00:04:01.670 --> 00:04:02.993 align:middle line:90%
lead to catastrophic failure.

00:04:02.993 --> 00:04:03.910 align:middle line:90%
AUDIENCE: It is rough.

00:04:03.910 --> 00:04:04.870 align:middle line:90%
It might happen.

00:04:04.870 --> 00:04:06.310 align:middle line:90%
[LAUGHS]

00:04:06.310 --> 00:04:07.350 align:middle line:90%
JUEJUN HU: Probably.

00:04:07.350 --> 00:04:09.910 align:middle line:90%
Do your fractography.

00:04:09.910 --> 00:04:11.230 align:middle line:90%
There you go.

00:04:11.230 --> 00:04:13.365 align:middle line:84%
OK, so now what I
want to do, I want

00:04:13.365 --> 00:04:15.990 align:middle line:84%
to actually draw a little bit of
a comparison between these two

00:04:15.990 --> 00:04:18.110 align:middle line:90%
commonly used cover materials.

00:04:18.110 --> 00:04:19.709 align:middle line:84%
And in the end,
what I tried to show

00:04:19.709 --> 00:04:22.050 align:middle line:84%
you here is that Apple actually
made some rational choices.

00:04:22.050 --> 00:04:24.633 align:middle line:84%
There's a good reason why they
use this specifically for Apple

00:04:24.633 --> 00:04:27.390 align:middle line:90%
Watch in the higher-end models.

00:04:27.390 --> 00:04:29.390 align:middle line:84%
So starting by looking
at optical properties,

00:04:29.390 --> 00:04:32.550 align:middle line:84%
refractive index, sapphire has
a slightly higher refractive

00:04:32.550 --> 00:04:33.050 align:middle line:90%
index.

00:04:33.050 --> 00:04:33.990 align:middle line:90%
What does that mean?

00:04:33.990 --> 00:04:36.590 align:middle line:84%
Refractive index actually
impacts optical reflection.

00:04:36.590 --> 00:04:39.190 align:middle line:84%
The higher refractive index,
the more reflection you get.

00:04:39.190 --> 00:04:43.590 align:middle line:84%
So for glass, typical, normal,
surface-normal refraction

00:04:43.590 --> 00:04:46.670 align:middle line:84%
is about 4% based on the
refractive index value.

00:04:46.670 --> 00:04:51.350 align:middle line:84%
For sapphire, it's
about 7.5%, 8%.

00:04:51.350 --> 00:04:53.710 align:middle line:90%
So it's not a big difference.

00:04:53.710 --> 00:04:55.230 align:middle line:84%
And you can
potentially mitigate it

00:04:55.230 --> 00:04:58.070 align:middle line:84%
with essentially
anti-reflection coatings.

00:04:58.070 --> 00:05:02.510 align:middle line:84%
But glass does have a slightly
lower surface reflectance

00:05:02.510 --> 00:05:03.690 align:middle line:90%
compared to sapphire.

00:05:03.690 --> 00:05:07.630 align:middle line:90%


00:05:07.630 --> 00:05:10.270 align:middle line:90%
Next part is density.

00:05:10.270 --> 00:05:13.130 align:middle line:90%
So sapphire has higher density.

00:05:13.130 --> 00:05:14.670 align:middle line:84%
Now for a cover
material, you want

00:05:14.670 --> 00:05:18.510 align:middle line:84%
it to have a smaller mass
because everyone wants lighter

00:05:18.510 --> 00:05:19.930 align:middle line:90%
consumer electronic devices.

00:05:19.930 --> 00:05:22.510 align:middle line:84%
Again, it doesn't really
make a big difference

00:05:22.510 --> 00:05:25.510 align:middle line:84%
for small consumer electronic
devices like Apple Watch.

00:05:25.510 --> 00:05:29.450 align:middle line:84%
For larger devices like iPad,
that weight actually adds up.

00:05:29.450 --> 00:05:33.270 align:middle line:90%


00:05:33.270 --> 00:05:36.390 align:middle line:84%
All right, next one, this is
one of the most important metric

00:05:36.390 --> 00:05:38.430 align:middle line:90%
here-- fracture toughness.

00:05:38.430 --> 00:05:40.330 align:middle line:84%
So sapphire has a
fracture toughness

00:05:40.330 --> 00:05:43.390 align:middle line:84%
that's more than 2 times
higher or 3 times higher

00:05:43.390 --> 00:05:45.470 align:middle line:90%
compared to glass materials.

00:05:45.470 --> 00:05:48.550 align:middle line:84%
And that's why if you
actually read news report,

00:05:48.550 --> 00:05:50.030 align:middle line:84%
some people were
actually claiming

00:05:50.030 --> 00:05:55.370 align:middle line:84%
sapphire is 3 times stronger
compared to strengthened glass.

00:05:55.370 --> 00:05:57.502 align:middle line:84%
We should give credit to
authors of those articles

00:05:57.502 --> 00:05:59.210 align:middle line:84%
because they actually
did their homework.

00:05:59.210 --> 00:06:01.252 align:middle line:84%
They actually looked up
their fracture toughness,

00:06:01.252 --> 00:06:04.830 align:middle line:84%
and that's where they draw
their quantitative conclusion.

00:06:04.830 --> 00:06:07.370 align:middle line:84%
Now, however, what we have
mentioned in the last lecture,

00:06:07.370 --> 00:06:09.750 align:middle line:84%
if you recall, the glass,
the fracture toughness

00:06:09.750 --> 00:06:15.070 align:middle line:84%
was actually measured using
ion-strengthened glass samples.

00:06:15.070 --> 00:06:16.950 align:middle line:84%
It did not account for
the fact that if you

00:06:16.950 --> 00:06:18.790 align:middle line:84%
have compressive
stress, it actually

00:06:18.790 --> 00:06:20.750 align:middle line:84%
helps to prevent
crack propagation.

00:06:20.750 --> 00:06:22.430 align:middle line:84%
So the apparent
fracture toughness

00:06:22.430 --> 00:06:24.110 align:middle line:84%
or the apparent
ability for glass

00:06:24.110 --> 00:06:26.750 align:middle line:84%
to resist crack propagation
is higher than what's actually

00:06:26.750 --> 00:06:28.470 align:middle line:90%
specified by that number there.

00:06:28.470 --> 00:06:31.970 align:middle line:84%
So the 3 times higher fracture
toughness or 3 times stronger,

00:06:31.970 --> 00:06:36.030 align:middle line:84%
that's not a totally
fair comparison.

00:06:36.030 --> 00:06:38.150 align:middle line:84%
Now, in fact, we can
compare this kind

00:06:38.150 --> 00:06:40.630 align:middle line:84%
of availability of
glass to resist fracture

00:06:40.630 --> 00:06:42.310 align:middle line:84%
by looking at their
strength here.

00:06:42.310 --> 00:06:44.105 align:middle line:84%
So you can look at
tensile strength.

00:06:44.105 --> 00:06:46.730 align:middle line:84%
Unfortunately, I didn't find the
number for strengthened glass.

00:06:46.730 --> 00:06:49.470 align:middle line:84%
But flexural strength
is what's more relevant.

00:06:49.470 --> 00:06:53.980 align:middle line:84%
So flexural stress is basically
the maximum surface stress

00:06:53.980 --> 00:06:57.938 align:middle line:84%
the material can withstand
before it breaks during bending.

00:06:57.938 --> 00:06:59.980 align:middle line:84%
So you can think of it as
the ability of material

00:06:59.980 --> 00:07:01.820 align:middle line:90%
to resist bending.

00:07:01.820 --> 00:07:03.380 align:middle line:90%
Don't try it.

00:07:03.380 --> 00:07:04.880 align:middle line:84%
You're not going
to break it anyway.

00:07:04.880 --> 00:07:08.460 align:middle line:84%
But if you compare them,
sapphire and strengthened glass

00:07:08.460 --> 00:07:11.780 align:middle line:84%
actually has quite
comparable flexural strength.

00:07:11.780 --> 00:07:14.140 align:middle line:84%
So in that regard,
their performance

00:07:14.140 --> 00:07:16.140 align:middle line:84%
is similar in this
case, the ability

00:07:16.140 --> 00:07:22.460 align:middle line:84%
to essentially withstand
any kind of deformation.

00:07:22.460 --> 00:07:25.220 align:middle line:84%
Now, next one, the
modulus, this is

00:07:25.220 --> 00:07:27.540 align:middle line:84%
where you can make quite
a bit of difference.

00:07:27.540 --> 00:07:30.780 align:middle line:84%
Sapphire is a very
stiff material.

00:07:30.780 --> 00:07:35.060 align:middle line:84%
It has a Young's modulus
that's 5 times higher compared

00:07:35.060 --> 00:07:36.120 align:middle line:90%
to typical glasses.

00:07:36.120 --> 00:07:39.380 align:middle line:90%


00:07:39.380 --> 00:07:41.000 align:middle line:90%
So what's the consequence?

00:07:41.000 --> 00:07:43.500 align:middle line:84%
If you're trying to just look
at the strength of essentially

00:07:43.500 --> 00:07:46.190 align:middle line:84%
the screen, stand-alone screen,
whether sapphire or glass,

00:07:46.190 --> 00:07:47.940 align:middle line:84%
they are more or less
similar because they

00:07:47.940 --> 00:07:49.820 align:middle line:90%
have similar flexural strength.

00:07:49.820 --> 00:07:54.060 align:middle line:84%
However, when you put them
in an electronic device,

00:07:54.060 --> 00:07:56.940 align:middle line:84%
there are other materials that
actually goes around the screen.

00:07:56.940 --> 00:07:58.780 align:middle line:90%
So when you actually drop it--

00:07:58.780 --> 00:08:00.180 align:middle line:90%
I'm not going to try it--

00:08:00.180 --> 00:08:02.420 align:middle line:84%
if you actually drop it,
then what actually deforms

00:08:02.420 --> 00:08:05.380 align:middle line:84%
is not just your screen, but
it's essentially the whole form.

00:08:05.380 --> 00:08:07.540 align:middle line:84%
So now imagine if
you have your screen

00:08:07.540 --> 00:08:08.842 align:middle line:90%
as the most stiff component.

00:08:08.842 --> 00:08:11.300 align:middle line:84%
For example, if you have a
sapphire, then when you actually

00:08:11.300 --> 00:08:14.780 align:middle line:84%
drop it, most of
the stress is going

00:08:14.780 --> 00:08:16.500 align:middle line:84%
to be exerted on your
screen because this

00:08:16.500 --> 00:08:18.458 align:middle line:84%
is a stiff material,
stiffest the material that

00:08:18.458 --> 00:08:19.860 align:middle line:90%
has the least deformation.

00:08:19.860 --> 00:08:21.440 align:middle line:90%
It will resist deformation most.

00:08:21.440 --> 00:08:24.940 align:middle line:90%


00:08:24.940 --> 00:08:27.500 align:middle line:84%
And if you think about
the Young's modulus

00:08:27.500 --> 00:08:28.880 align:middle line:84%
of other materials
like aluminum,

00:08:28.880 --> 00:08:31.420 align:middle line:84%
aluminum has a Young's modulus
of about 70 gigapascal.

00:08:31.420 --> 00:08:34.360 align:middle line:84%
So that's comparable to glass
but much lower than sapphire.

00:08:34.360 --> 00:08:37.460 align:middle line:84%
So it means that essentially
sapphire on the aluminum

00:08:37.460 --> 00:08:40.220 align:middle line:84%
casing form is going to
withstand a lot larger stress

00:08:40.220 --> 00:08:42.380 align:middle line:90%
compared to glass.

00:08:42.380 --> 00:08:43.820 align:middle line:90%
Now what about stainless steel?

00:08:43.820 --> 00:08:46.140 align:middle line:84%
Stainless steel has a Young's
modulus higher than 200

00:08:46.140 --> 00:08:48.220 align:middle line:90%
gigapascal.

00:08:48.220 --> 00:08:51.380 align:middle line:84%
So the mismatch
is a lot smaller.

00:08:51.380 --> 00:08:53.140 align:middle line:84%
So you see that
actually makes sense

00:08:53.140 --> 00:08:56.340 align:middle line:84%
that for stainless-steel-cased
Apple Watch,

00:08:56.340 --> 00:08:58.340 align:middle line:84%
people will actually
use a sapphire screen

00:08:58.340 --> 00:09:02.500 align:middle line:84%
because the modulus mismatch is
a lot less compared to casing

00:09:02.500 --> 00:09:03.820 align:middle line:90%
and the screen there.

00:09:03.820 --> 00:09:05.820 align:middle line:90%
In fact, it's not just Apple.

00:09:05.820 --> 00:09:09.060 align:middle line:84%
If you look at other premium
electronic manufacturers

00:09:09.060 --> 00:09:11.280 align:middle line:84%
like Samsung, they
make similar choices.

00:09:11.280 --> 00:09:14.820 align:middle line:84%
They have sapphire screens
on their Galaxy Watch

00:09:14.820 --> 00:09:16.340 align:middle line:84%
or whatever, the
high-end models.

00:09:16.340 --> 00:09:19.100 align:middle line:84%
So again, out of
that reasoning, it

00:09:19.100 --> 00:09:21.660 align:middle line:84%
makes sense that they
use it for casing

00:09:21.660 --> 00:09:22.900 align:middle line:90%
with high Young's modulus.

00:09:22.900 --> 00:09:27.820 align:middle line:84%
Now last one, this is where
sapphire really shines--

00:09:27.820 --> 00:09:29.660 align:middle line:90%
hardness.

00:09:29.660 --> 00:09:32.020 align:middle line:84%
Sapphire is one of
the hardest materials,

00:09:32.020 --> 00:09:34.820 align:middle line:84%
I think, basically,
only second to diamond.

00:09:34.820 --> 00:09:39.180 align:middle line:84%
And this, of course, shows up
as a very high Vickers hardness.

00:09:39.180 --> 00:09:40.900 align:middle line:84%
Harness essentially
means that it's

00:09:40.900 --> 00:09:42.880 align:middle line:90%
a lot more scratch resistant.

00:09:42.880 --> 00:09:45.500 align:middle line:90%


00:09:45.500 --> 00:09:48.940 align:middle line:84%
And surface scratches
is usually the defect

00:09:48.940 --> 00:09:52.140 align:middle line:84%
that eventually leads to
breaking of your phone screen

00:09:52.140 --> 00:09:54.340 align:middle line:90%
or your whatever, iPad screen.

00:09:54.340 --> 00:09:58.160 align:middle line:84%
So the risk, if you
put, for example,

00:09:58.160 --> 00:10:04.240 align:middle line:84%
your phone in your
wallet, in your pocket,

00:10:04.240 --> 00:10:07.200 align:middle line:84%
along with other stiff
materials like your keys,

00:10:07.200 --> 00:10:09.200 align:middle line:84%
or I don't know where you
put it in your pocket,

00:10:09.200 --> 00:10:13.660 align:middle line:84%
but the risk of causing surface
scratch is higher for glass

00:10:13.660 --> 00:10:14.760 align:middle line:90%
compared to sapphire.

00:10:14.760 --> 00:10:18.600 align:middle line:90%


00:10:18.600 --> 00:10:20.100 align:middle line:84%
So despite the fact
that people have

00:10:20.100 --> 00:10:22.420 align:middle line:84%
made major strides
over the past few years

00:10:22.420 --> 00:10:24.800 align:middle line:84%
in terms of the
strength of screens,

00:10:24.800 --> 00:10:26.420 align:middle line:84%
my recommendation
is still, try not

00:10:26.420 --> 00:10:29.180 align:middle line:84%
to put it with something
that's sharp and stiff.

00:10:29.180 --> 00:10:30.860 align:middle line:84%
It may not break it
immediately, but it

00:10:30.860 --> 00:10:32.700 align:middle line:90%
may cause more surface cracks.

00:10:32.700 --> 00:10:35.540 align:middle line:84%
And in those cracks
eventually is where

00:10:35.540 --> 00:10:37.500 align:middle line:90%
the defects will nucleate.

00:10:37.500 --> 00:10:39.740 align:middle line:84%
And that's where the
Griffith's crack comes along.

00:10:39.740 --> 00:10:41.782 align:middle line:84%
You will get stress
concentration and everything.

00:10:41.782 --> 00:10:44.800 align:middle line:84%
So again, that's where
sapphire really wins.

00:10:44.800 --> 00:10:48.930 align:middle line:84%
AUDIENCE: Is that why screen
protectors are a thing?

00:10:48.930 --> 00:10:49.570 align:middle line:90%
JUEJUN HU: Yes.

00:10:49.570 --> 00:10:52.250 align:middle line:84%
AUDIENCE: Because it just
prevents the scratches.

00:10:52.250 --> 00:10:53.570 align:middle line:90%
JUEJUN HU: Not really.

00:10:53.570 --> 00:10:55.130 align:middle line:84%
The screen protectors
essentially

00:10:55.130 --> 00:10:57.810 align:middle line:84%
is like, they take the scratches
on the screen protectors

00:10:57.810 --> 00:10:59.810 align:middle line:84%
so the underlying glass
doesn't get damaged.

00:10:59.810 --> 00:11:03.990 align:middle line:84%
So yes, but the downside is that
you reduce light transmission.

00:11:03.990 --> 00:11:06.573 align:middle line:90%


00:11:06.573 --> 00:11:07.990 align:middle line:84%
That's the biggest
thing, I think.

00:11:07.990 --> 00:11:10.410 align:middle line:90%
So it's really up to you.

00:11:10.410 --> 00:11:12.170 align:middle line:84%
I don't use any screen
protector because I

00:11:12.170 --> 00:11:13.930 align:middle line:84%
feel like people essentially
make so much effort trying

00:11:13.930 --> 00:11:15.170 align:middle line:84%
to make it more
scratch resistant

00:11:15.170 --> 00:11:16.462 align:middle line:90%
and make it highly transparent.

00:11:16.462 --> 00:11:19.210 align:middle line:84%
They put all kinds of coatings
to increase light transmittance,

00:11:19.210 --> 00:11:20.668 align:middle line:84%
and you just put
a screen protector

00:11:20.668 --> 00:11:23.050 align:middle line:84%
on top of that to negate
all those efforts.

00:11:23.050 --> 00:11:25.510 align:middle line:84%
So out of respect for
the glass engineers,

00:11:25.510 --> 00:11:27.850 align:middle line:84%
I decided not to put
the screen protector.

00:11:27.850 --> 00:11:30.330 align:middle line:84%
AUDIENCE: Why do you
want to match your casing

00:11:30.330 --> 00:11:32.510 align:middle line:90%
and screen's Young's moduli?

00:11:32.510 --> 00:11:34.650 align:middle line:84%
JUEJUN HU: So
basically, what happens

00:11:34.650 --> 00:11:37.810 align:middle line:84%
when you actually drop it,
the whole thing deforms.

00:11:37.810 --> 00:11:40.890 align:middle line:84%
If everything deforms more
or less with the same extent,

00:11:40.890 --> 00:11:42.670 align:middle line:84%
then you have the
same level of strain.

00:11:42.670 --> 00:11:43.387 align:middle line:90%
AUDIENCE: Oh, OK.

00:11:43.387 --> 00:11:45.470 align:middle line:84%
JUEJUN HU: But if one thing
is particularly stiff,

00:11:45.470 --> 00:11:47.430 align:middle line:84%
everything else is soft
in the extreme case.

00:11:47.430 --> 00:11:49.670 align:middle line:84%
Essentially, all the soft
parts can easily deform,

00:11:49.670 --> 00:11:54.410 align:middle line:84%
but then the stiff part actually
withstand the much larger stress

00:11:54.410 --> 00:11:55.948 align:middle line:90%
compared to anything else.

00:11:55.948 --> 00:11:56.490 align:middle line:90%
AUDIENCE: OK.

00:11:56.490 --> 00:11:57.890 align:middle line:84%
JUEJUN HU: So you
actually don't want that.

00:11:57.890 --> 00:12:00.730 align:middle line:84%
You want everything to deform
more or less to the same extent.

00:12:00.730 --> 00:12:02.330 align:middle line:84%
That's why ideally
everything should

00:12:02.330 --> 00:12:04.735 align:middle line:84%
have more or less the
same mechanical stiffness.

00:12:04.735 --> 00:12:06.110 align:middle line:84%
AUDIENCE: Yeah,
that makes sense.

00:12:06.110 --> 00:12:06.690 align:middle line:90%
OK, cool.

00:12:06.690 --> 00:12:07.357 align:middle line:90%
JUEJUN HU: Yeah.

00:12:07.357 --> 00:12:09.930 align:middle line:84%
So that's a good reason
why people should

00:12:09.930 --> 00:12:12.810 align:middle line:90%
use one material or the other.

00:12:12.810 --> 00:12:14.530 align:middle line:90%
Make sense?

00:12:14.530 --> 00:12:17.770 align:middle line:84%
Now, outside these apparent
quantitative material

00:12:17.770 --> 00:12:21.650 align:middle line:84%
properties, obviously, there's
also a perception difference

00:12:21.650 --> 00:12:24.510 align:middle line:90%
for these two materials.

00:12:24.510 --> 00:12:29.490 align:middle line:84%
Sapphire, to the years of
known material scientists,

00:12:29.490 --> 00:12:31.970 align:middle line:90%
it's a precious gemstone.

00:12:31.970 --> 00:12:36.073 align:middle line:84%
Now, to us it's basically
nothing more than Al2O3.

00:12:36.073 --> 00:12:38.490 align:middle line:84%
I'm actually surprised people
are not calling alumina, why

00:12:38.490 --> 00:12:39.830 align:middle line:90%
they call it a sapphire screen.

00:12:39.830 --> 00:12:42.210 align:middle line:84%
They should call
it alumina screen.

00:12:42.210 --> 00:12:46.510 align:middle line:84%
Anyway, so sapphire does
give people a feeling.

00:12:46.510 --> 00:12:49.670 align:middle line:84%
In fact, people call it
a luxury cover material.

00:12:49.670 --> 00:12:51.797 align:middle line:84%
Nobody calls glass a
luxury cover material,

00:12:51.797 --> 00:12:53.630 align:middle line:84%
even though they last
for billions of years.

00:12:53.630 --> 00:12:57.088 align:middle line:90%


00:12:57.088 --> 00:12:59.130 align:middle line:84%
So anyway, that's also
part of the reason they're

00:12:59.130 --> 00:13:00.930 align:middle line:90%
used in the high-end models.

00:13:00.930 --> 00:13:04.890 align:middle line:84%
Also, sapphire is indeed
more expensive than glass.

00:13:04.890 --> 00:13:07.690 align:middle line:84%
The cost of sapphire
substrates or windows

00:13:07.690 --> 00:13:11.690 align:middle line:84%
has gone down very significantly
over the past couple of decades,

00:13:11.690 --> 00:13:13.890 align:middle line:84%
not because of the
display industry,

00:13:13.890 --> 00:13:17.930 align:middle line:84%
in fact, because of the
lighting industry, LEDs.

00:13:17.930 --> 00:13:20.570 align:middle line:84%
Blue LEDs, gallium
nitride, is often

00:13:20.570 --> 00:13:22.810 align:middle line:90%
grown on sapphire substrate.

00:13:22.810 --> 00:13:26.030 align:middle line:84%
So because of the economy of
scale coming from LED industry,

00:13:26.030 --> 00:13:28.027 align:middle line:84%
that's why sapphire
gets a lot cheaper

00:13:28.027 --> 00:13:29.110 align:middle line:90%
over the past two decades.

00:13:29.110 --> 00:13:31.050 align:middle line:84%
And that's what makes it viable
to actually make it even out

00:13:31.050 --> 00:13:31.970 align:middle line:90%
of screens.

00:13:31.970 --> 00:13:34.670 align:middle line:84%
But still, anyway, it's still
more expensive than glass.

00:13:34.670 --> 00:13:36.930 align:middle line:84%
That's why it also makes
sense Apple puts it only

00:13:36.930 --> 00:13:38.630 align:middle line:84%
in essentially the
high-end models.

00:13:38.630 --> 00:13:43.410 align:middle line:90%


00:13:43.410 --> 00:13:47.472 align:middle line:84%
OK, so that's the
comparison here.

00:13:47.472 --> 00:13:48.930 align:middle line:84%
But now what I also
want to mention

00:13:48.930 --> 00:13:52.430 align:middle line:84%
is that, again, people have been
working on glasses for decades,

00:13:52.430 --> 00:13:53.750 align:middle line:90%
these strengthened glasses.

00:13:53.750 --> 00:13:55.490 align:middle line:84%
They've come up with new
ways to further improve

00:13:55.490 --> 00:13:57.115 align:middle line:84%
the glass properties
beyond what I have

00:13:57.115 --> 00:13:59.250 align:middle line:90%
listed in the previous table.

00:13:59.250 --> 00:14:03.610 align:middle line:84%
So one example here,
Corning has this line

00:14:03.610 --> 00:14:07.330 align:middle line:84%
of products they call
scratch-resistant glasses.

00:14:07.330 --> 00:14:10.970 align:middle line:84%
The first generation is
what they label as SR+.

00:14:10.970 --> 00:14:13.690 align:middle line:84%
The more recent one
they have a DX+.

00:14:13.690 --> 00:14:16.650 align:middle line:84%
Unfortunately, they did not give
much information about what DX+

00:14:16.650 --> 00:14:17.150 align:middle line:90%
is.

00:14:17.150 --> 00:14:18.810 align:middle line:90%
We know it's derived from SR+.

00:14:18.810 --> 00:14:21.110 align:middle line:84%
So that's why I'm using
SR+ still as an example,

00:14:21.110 --> 00:14:23.730 align:middle line:84%
even though it's a
somewhat outdated product.

00:14:23.730 --> 00:14:25.890 align:middle line:84%
So what they are showing
here, essentially, this

00:14:25.890 --> 00:14:29.030 align:middle line:84%
is a little
demonstration experiment.

00:14:29.030 --> 00:14:32.075 align:middle line:84%
If you use the regular Gorilla
Glass, you start to scratch it,

00:14:32.075 --> 00:14:33.450 align:middle line:84%
this is essentially
the scratches

00:14:33.450 --> 00:14:34.930 align:middle line:84%
that happens using
different forces you

00:14:34.930 --> 00:14:36.090 align:middle line:90%
apply on the glass screen.

00:14:36.090 --> 00:14:38.780 align:middle line:84%
You see a very large
scratch happening here.

00:14:38.780 --> 00:14:43.840 align:middle line:84%
If you use either the Gorilla
Glass SR+ or this one, ALCM.

00:14:43.840 --> 00:14:47.280 align:middle line:84%
It stands for
Alternative Luxury Cover

00:14:47.280 --> 00:14:49.900 align:middle line:90%
Material, basically sapphire.

00:14:49.900 --> 00:14:53.000 align:middle line:84%
You see that you don't get
any scratches on these two

00:14:53.000 --> 00:14:55.040 align:middle line:90%
materials.

00:14:55.040 --> 00:14:58.560 align:middle line:84%
And so they did not
give much information

00:14:58.560 --> 00:15:02.560 align:middle line:84%
about why this glass material is
more scratch resistant compared

00:15:02.560 --> 00:15:05.080 align:middle line:90%
to the untreated Gorilla Glass.

00:15:05.080 --> 00:15:09.120 align:middle line:84%
But as an MIT engineer, we like
to dig a little bit deeper,

00:15:09.120 --> 00:15:12.560 align:middle line:84%
so I actually look at
their product spec sheet.

00:15:12.560 --> 00:15:15.080 align:middle line:84%
I found in one
corner, they actually

00:15:15.080 --> 00:15:18.600 align:middle line:84%
give this transmission
spectrum here.

00:15:18.600 --> 00:15:20.660 align:middle line:84%
The main purpose they
give that diagram

00:15:20.660 --> 00:15:22.600 align:middle line:84%
is to show that the
glass material actually

00:15:22.600 --> 00:15:25.400 align:middle line:84%
has a high optical transmission
compared to sapphire,

00:15:25.400 --> 00:15:27.600 align:middle line:84%
basically because of that
lower refractive index.

00:15:27.600 --> 00:15:31.940 align:middle line:84%
But what I also noticed is that
unlike untreated Gorilla Glass,

00:15:31.940 --> 00:15:34.200 align:middle line:84%
which has a more or
less flat spectrum,

00:15:34.200 --> 00:15:38.360 align:middle line:84%
you see these fringes or
fluctuations coming up

00:15:38.360 --> 00:15:40.280 align:middle line:84%
on the transmission
spectrum there.

00:15:40.280 --> 00:15:43.880 align:middle line:84%
So my speculation is
that this is not just

00:15:43.880 --> 00:15:45.720 align:middle line:90%
one uniform glass material.

00:15:45.720 --> 00:15:48.480 align:middle line:84%
What happens is that there
can be one layer or maybe

00:15:48.480 --> 00:15:51.000 align:middle line:84%
multiple layers of
some surface coating

00:15:51.000 --> 00:15:52.860 align:middle line:84%
so that when the
light comes through,

00:15:52.860 --> 00:15:55.240 align:middle line:84%
it can get reflected
either on the top surface

00:15:55.240 --> 00:16:00.000 align:middle line:84%
or it can actually get reflected
at the glass coating interface.

00:16:00.000 --> 00:16:03.060 align:middle line:84%
Now, depending on the wavelength
and thickness of the film,

00:16:03.060 --> 00:16:04.680 align:middle line:84%
these two reflected
light waves, they

00:16:04.680 --> 00:16:07.960 align:middle line:84%
can interfere either
constructively or destructively,

00:16:07.960 --> 00:16:09.760 align:middle line:84%
which then lead to an
intensity fluctuation

00:16:09.760 --> 00:16:11.040 align:middle line:90%
as a function of wavelength.

00:16:11.040 --> 00:16:15.220 align:middle line:84%
So I actually wrote
the Matlab code

00:16:15.220 --> 00:16:18.040 align:middle line:84%
to try to fit this
transmission spectrum.

00:16:18.040 --> 00:16:19.660 align:middle line:90%
This is what I end up getting.

00:16:19.660 --> 00:16:22.820 align:middle line:84%
So the vertical axis is
essentially wavelength.

00:16:22.820 --> 00:16:25.160 align:middle line:84%
So what this does, what
you are seeing here,

00:16:25.160 --> 00:16:29.320 align:middle line:84%
they correspond to the extremum
positions and the transmission

00:16:29.320 --> 00:16:30.960 align:middle line:90%
spectrum, the maximum/minimum.

00:16:30.960 --> 00:16:32.513 align:middle line:90%
I extracted it from that plot.

00:16:32.513 --> 00:16:34.180 align:middle line:84%
And essentially, I
just did the fitting.

00:16:34.180 --> 00:16:36.200 align:middle line:84%
So if everything
falls on one line,

00:16:36.200 --> 00:16:40.220 align:middle line:84%
it says that this is indeed
caused by reflectance.

00:16:40.220 --> 00:16:42.520 align:middle line:84%
I basically fitted to this
very simple model there.

00:16:42.520 --> 00:16:47.720 align:middle line:84%
OK, so while we still
don't know exactly why you

00:16:47.720 --> 00:16:49.820 align:middle line:84%
have this
scratch-resistant property,

00:16:49.820 --> 00:16:52.393 align:middle line:84%
we can at least conclude,
based on my fitting,

00:16:52.393 --> 00:16:54.560 align:middle line:84%
that there's actually a
surface coating layer, which

00:16:54.560 --> 00:16:58.040 align:middle line:84%
is about 2.3
microns in thickness

00:16:58.040 --> 00:17:00.880 align:middle line:84%
and has a refraction
index 0.03 higher or lower

00:17:00.880 --> 00:17:02.360 align:middle line:90%
compared to a substrate glass.

00:17:02.360 --> 00:17:05.580 align:middle line:84%
So it's plausible that
this coating is also

00:17:05.580 --> 00:17:08.040 align:middle line:84%
a coating with a
higher hardness,

00:17:08.040 --> 00:17:10.740 align:middle line:84%
so they prevent essentially any
scratches on the glass surface.

00:17:10.740 --> 00:17:12.942 align:middle line:84%
Again, this is speculation,
but it makes sense

00:17:12.942 --> 00:17:14.359 align:middle line:84%
because that's the
only difference

00:17:14.359 --> 00:17:17.200 align:middle line:84%
I see between this glass
material and the untreated

00:17:17.200 --> 00:17:17.819 align:middle line:90%
Gorilla.

00:17:17.819 --> 00:17:21.435 align:middle line:90%


00:17:21.435 --> 00:17:23.060 align:middle line:84%
Now let's take a look
at another trick.

00:17:23.060 --> 00:17:26.663 align:middle line:84%
This one I think is
much more ingenious.

00:17:26.663 --> 00:17:29.080 align:middle line:84%
This actually does engineer
the glass intrinsic properties

00:17:29.080 --> 00:17:30.980 align:middle line:90%
to get the damage resistance.

00:17:30.980 --> 00:17:33.300 align:middle line:84%
So this is another
line of products.

00:17:33.300 --> 00:17:36.080 align:middle line:84%
They call it native glass
materials with native damage

00:17:36.080 --> 00:17:37.400 align:middle line:90%
resistance, NDR.

00:17:37.400 --> 00:17:40.380 align:middle line:84%
So at the bottom, again I'm
showing you what happens here.

00:17:40.380 --> 00:17:42.160 align:middle line:84%
If you just scratch
on glass material

00:17:42.160 --> 00:17:44.880 align:middle line:84%
without this capability,
you get large scratches.

00:17:44.880 --> 00:17:48.360 align:middle line:84%
With this capability, the
scratch is more confined.

00:17:48.360 --> 00:17:50.300 align:middle line:84%
Microscopically, if you
look at what happens,

00:17:50.300 --> 00:17:53.480 align:middle line:84%
this is a cross
section of the scratch.

00:17:53.480 --> 00:17:56.900 align:middle line:84%
On other materials
without this capability,

00:17:56.900 --> 00:17:58.758 align:middle line:84%
you see lots of
microcracks forming.

00:17:58.758 --> 00:18:01.300 align:middle line:84%
And that happens because when
you actually try to scratch it,

00:18:01.300 --> 00:18:04.080 align:middle line:84%
you apply this essentially
compressive stress.

00:18:04.080 --> 00:18:06.390 align:middle line:84%
Then, stress accumulation
exceeds the strength

00:18:06.390 --> 00:18:08.640 align:middle line:84%
of the material at the
surface, which eventually leads

00:18:08.640 --> 00:18:10.760 align:middle line:90%
to a formation of microcracks.

00:18:10.760 --> 00:18:13.760 align:middle line:84%
On the other hand, if
it is glass with NDR,

00:18:13.760 --> 00:18:17.000 align:middle line:84%
you see this region
here, this part, this

00:18:17.000 --> 00:18:21.200 align:middle line:84%
is the region with a lot
of plastic deformation.

00:18:21.200 --> 00:18:26.160 align:middle line:84%
Essentially, the
cracks is inhibited

00:18:26.160 --> 00:18:28.520 align:middle line:84%
because the plastic
formation helps to absorb

00:18:28.520 --> 00:18:31.480 align:middle line:90%
a lot of the deformation.

00:18:31.480 --> 00:18:34.340 align:middle line:84%
So this is a glass that can
induce a considerable amount

00:18:34.340 --> 00:18:35.840 align:middle line:84%
of plastic deformation,
essentially,

00:18:35.840 --> 00:18:37.600 align:middle line:90%
in the form of densification.

00:18:37.600 --> 00:18:40.360 align:middle line:90%


00:18:40.360 --> 00:18:41.620 align:middle line:90%
So how does it work?

00:18:41.620 --> 00:18:48.000 align:middle line:90%


00:18:48.000 --> 00:18:50.040 align:middle line:84%
So the trick goes
back to when we talk

00:18:50.040 --> 00:18:52.680 align:middle line:90%
about borosilicate glasses.

00:18:52.680 --> 00:18:54.520 align:middle line:84%
So when we talk about
borosilicate glasses,

00:18:54.520 --> 00:18:57.568 align:middle line:84%
we mentioned that boron
has this boron anomaly.

00:18:57.568 --> 00:18:59.360 align:middle line:84%
It can essentially
switch between two kinds

00:18:59.360 --> 00:19:01.080 align:middle line:90%
of microstructure moieties.

00:19:01.080 --> 00:19:04.800 align:middle line:84%
It can either be forming
essentially a B3.

00:19:04.800 --> 00:19:06.040 align:middle line:90%
I show them in there.

00:19:06.040 --> 00:19:08.740 align:middle line:84%
You can actually have
a non-bridging oxygen.

00:19:08.740 --> 00:19:11.660 align:middle line:84%
Or it can induce this
B3 to B4 conversion.

00:19:11.660 --> 00:19:14.400 align:middle line:84%
You form a fourfold coordinate
boron atom which give rise

00:19:14.400 --> 00:19:18.480 align:middle line:84%
to a more tightly connected
network, which gives you

00:19:18.480 --> 00:19:22.240 align:middle line:84%
essentially a higher density,
among other properties,

00:19:22.240 --> 00:19:25.280 align:middle line:84%
like lower thermal
expansion coefficients.

00:19:25.280 --> 00:19:29.560 align:middle line:84%
So the trick they play is that
they essentially add boron

00:19:29.560 --> 00:19:31.350 align:middle line:90%
into the glass network.

00:19:31.350 --> 00:19:33.790 align:middle line:84%
And they engineer chemistry
so that when you actually

00:19:33.790 --> 00:19:36.430 align:middle line:84%
apply stress, the
stress actually

00:19:36.430 --> 00:19:41.190 align:middle line:84%
induces a transformation
from B3 to B4.

00:19:41.190 --> 00:19:44.070 align:middle line:84%
In the process, the
density of glass

00:19:44.070 --> 00:19:47.710 align:middle line:84%
increases because of increased
network connectivity.

00:19:47.710 --> 00:19:50.050 align:middle line:84%
And this is the
plastic deformation.

00:19:50.050 --> 00:19:53.670 align:middle line:84%
It's a permanent
plastic deformation.

00:19:53.670 --> 00:19:56.030 align:middle line:84%
So it's a stress-induced
chemical transformation which

00:19:56.030 --> 00:19:57.930 align:middle line:90%
also brings in a densification.

00:19:57.930 --> 00:20:00.830 align:middle line:90%


00:20:00.830 --> 00:20:04.350 align:middle line:84%
So that's why this material
can now actually absorb

00:20:04.350 --> 00:20:06.830 align:middle line:84%
a lot more deformation
while inhibiting

00:20:06.830 --> 00:20:10.952 align:middle line:84%
the formation of cracks, which
I think is a pretty smart trick.

00:20:10.952 --> 00:20:12.910 align:middle line:84%
They actually use the
structural transformation

00:20:12.910 --> 00:20:15.410 align:middle line:84%
to help prevent the
crack formation.

00:20:15.410 --> 00:20:18.894 align:middle line:90%


00:20:18.894 --> 00:20:22.630 align:middle line:84%
Any questions about
that before I move on?

00:20:22.630 --> 00:20:23.210 align:middle line:90%
OK.

00:20:23.210 --> 00:20:30.210 align:middle line:84%
So now, besides being scratch
resistant or damage resistant,

00:20:30.210 --> 00:20:33.270 align:middle line:84%
I want to mention that the
other advances that people

00:20:33.270 --> 00:20:37.950 align:middle line:84%
were able to accomplish is to
make bendable phone screens.

00:20:37.950 --> 00:20:42.190 align:middle line:84%
So this is actually from
a news release by Samsung.

00:20:42.190 --> 00:20:45.190 align:middle line:84%
I think this is about
2020 or something.

00:20:45.190 --> 00:20:46.910 align:middle line:84%
They essentially
unveil what they

00:20:46.910 --> 00:20:50.470 align:middle line:84%
claim is the first foldable
phone with a glass screen, the Z

00:20:50.470 --> 00:20:52.550 align:middle line:90%
Flip.

00:20:52.550 --> 00:20:55.230 align:middle line:84%
In the news release, you can
see that you can essentially

00:20:55.230 --> 00:20:56.590 align:middle line:90%
fold the phone in half.

00:20:56.590 --> 00:21:01.870 align:middle line:84%
They claim that they were able
to bend the laws of physics

00:21:01.870 --> 00:21:05.030 align:middle line:90%
to get glasses to be bendable.

00:21:05.030 --> 00:21:06.368 align:middle line:90%
Is that really the case?

00:21:06.368 --> 00:21:07.410 align:middle line:90%
Well, we can take a look.

00:21:07.410 --> 00:21:11.452 align:middle line:84%
First, actually, I'm going to
show you a little YouTube video.

00:21:11.452 --> 00:21:12.910 align:middle line:84%
The key trick that
you can actually

00:21:12.910 --> 00:21:15.870 align:middle line:84%
get these glasses to be
really flexible and foldable

00:21:15.870 --> 00:21:17.590 align:middle line:90%
is to make them extremely thin.

00:21:17.590 --> 00:21:23.510 align:middle line:90%


00:21:23.510 --> 00:21:24.570 align:middle line:90%
This one has no sound.

00:21:24.570 --> 00:21:27.710 align:middle line:90%
[VIDEO PLAYBACK]

00:21:27.710 --> 00:21:30.990 align:middle line:90%


00:21:30.990 --> 00:21:32.570 align:middle line:84%
Internet connection
is not very good.

00:21:32.570 --> 00:21:33.070 align:middle line:90%
Oops.

00:21:33.070 --> 00:21:41.650 align:middle line:90%


00:21:41.650 --> 00:21:45.070 align:middle line:84%
So this company specializes
in laser processing

00:21:45.070 --> 00:21:46.728 align:middle line:90%
of these ultra-thin glasses.

00:21:46.728 --> 00:21:48.270 align:middle line:84%
So you can see that
they can actually

00:21:48.270 --> 00:21:50.870 align:middle line:84%
use the surface patterns
to help relieve the stress.

00:21:50.870 --> 00:21:53.412 align:middle line:84%
They have actually
some data to show that.

00:21:53.412 --> 00:21:54.870 align:middle line:84%
You can see the
stress distribution

00:21:54.870 --> 00:21:56.430 align:middle line:84%
with the surface patterning
helping to release

00:21:56.430 --> 00:21:57.610 align:middle line:90%
the stress at the edges.

00:21:57.610 --> 00:22:02.050 align:middle line:84%
But they were able to bend it
to a very small bending radius.

00:22:02.050 --> 00:22:03.570 align:middle line:90%
And it's completely flexible.

00:22:03.570 --> 00:22:05.070 align:middle line:90%
[END PLAYBACK]

00:22:05.070 --> 00:22:06.910 align:middle line:90%
So what's the physics here?

00:22:06.910 --> 00:22:10.070 align:middle line:84%
Are we actually breaking
any physical laws?

00:22:10.070 --> 00:22:13.990 align:middle line:84%
If you think about if you
bend a sheet of glass,

00:22:13.990 --> 00:22:15.870 align:middle line:90%
that's mechanics 101.

00:22:15.870 --> 00:22:18.030 align:middle line:90%
What happens?

00:22:18.030 --> 00:22:21.870 align:middle line:84%
On the top surface, you have
essentially tensile strain.

00:22:21.870 --> 00:22:25.350 align:middle line:84%
At the bottom surface, you
get compressive strain.

00:22:25.350 --> 00:22:29.230 align:middle line:84%
If the glass is uniform,
then right in the middle,

00:22:29.230 --> 00:22:33.030 align:middle line:84%
you have what's called a
neutral plane or neutral axis,

00:22:33.030 --> 00:22:38.470 align:middle line:84%
where the stress
essentially goes to 0.

00:22:38.470 --> 00:22:41.230 align:middle line:84%
So if a glass were to
break, this top surface

00:22:41.230 --> 00:22:45.190 align:middle line:84%
where you have tensile stress is
usually where any kind of defect

00:22:45.190 --> 00:22:46.630 align:middle line:90%
is going to initiate.

00:22:46.630 --> 00:22:53.390 align:middle line:84%
So the strain level on the top
surface, the strain, epsilon,

00:22:53.390 --> 00:22:57.370 align:middle line:84%
on the top surface, this is
actually given by-- basically,

00:22:57.370 --> 00:23:01.870 align:middle line:84%
if we label the glass thickness,
this is, let's say, d;

00:23:01.870 --> 00:23:06.950 align:middle line:84%
the radius of the bending
here, let's label it as r--

00:23:06.950 --> 00:23:13.670 align:middle line:84%
then, the strain on the top
surface will just be given

00:23:13.670 --> 00:23:20.150 align:middle line:84%
by epsilon equals to
1/2 thickness normalized

00:23:20.150 --> 00:23:21.813 align:middle line:90%
by the bending radius.

00:23:21.813 --> 00:23:23.230 align:middle line:84%
That's just a very
simple equation

00:23:23.230 --> 00:23:24.750 align:middle line:84%
for mechanics that
gives you what's

00:23:24.750 --> 00:23:26.560 align:middle line:90%
the strain on the top surface.

00:23:26.560 --> 00:23:31.052 align:middle line:90%


00:23:31.052 --> 00:23:32.820 align:middle line:84%
So now let's plug
in some numbers

00:23:32.820 --> 00:23:34.160 align:middle line:90%
and see what the strain is.

00:23:34.160 --> 00:23:37.460 align:middle line:84%
And from there, we can
calculate the stress.

00:23:37.460 --> 00:23:40.180 align:middle line:84%
So for these ultra-thin
glasses, their thickness

00:23:40.180 --> 00:23:43.700 align:middle line:84%
is of the order of
25 to 30 microns.

00:23:43.700 --> 00:23:46.120 align:middle line:84%
Let's just take,
let's say, 30 microns.

00:23:46.120 --> 00:23:52.340 align:middle line:84%
So 30 microns is
0.03 millimeters.

00:23:52.340 --> 00:23:53.820 align:middle line:84%
In terms of bending
radius, we see

00:23:53.820 --> 00:23:56.540 align:middle line:84%
that they can be bent to a
very tight bending radius, down

00:23:56.540 --> 00:23:57.980 align:middle line:90%
to about 1 millimeter.

00:23:57.980 --> 00:23:59.940 align:middle line:84%
So let's just take
a rounded number.

00:23:59.940 --> 00:24:04.580 align:middle line:84%
This is 2 times 1 millimeter
gives you 2 millimeters.

00:24:04.580 --> 00:24:07.860 align:middle line:90%


00:24:07.860 --> 00:24:10.740 align:middle line:84%
So it's pretty straightforward
to calculate that the strain now

00:24:10.740 --> 00:24:15.140 align:middle line:90%
on the surface is 1.5%.

00:24:15.140 --> 00:24:16.940 align:middle line:90%
Now what about the stress?

00:24:16.940 --> 00:24:19.860 align:middle line:84%
So we need to know the
Young's modulus if we want

00:24:19.860 --> 00:24:21.760 align:middle line:90%
to infer what the stress is.

00:24:21.760 --> 00:24:23.020 align:middle line:90%
So come back here.

00:24:23.020 --> 00:24:26.720 align:middle line:84%
The Young's modulus for
glass, 60 to 75 gigapascals.

00:24:26.720 --> 00:24:29.460 align:middle line:90%
Let's just say 60 gigapascals.

00:24:29.460 --> 00:24:37.080 align:middle line:84%
Then the stress is going
to be E times epsilon.

00:24:37.080 --> 00:24:41.460 align:middle line:90%


00:24:41.460 --> 00:24:45.980 align:middle line:90%
So what does that correspond to?

00:24:45.980 --> 00:24:48.120 align:middle line:90%
So it will be 60 times 1.5.

00:24:48.120 --> 00:24:59.520 align:middle line:84%
So it becomes a 0.9
gigapascals, or 900 megapascals.

00:24:59.520 --> 00:25:04.500 align:middle line:90%


00:25:04.500 --> 00:25:06.500 align:middle line:84%
So if you have a glass
sheet that has not

00:25:06.500 --> 00:25:08.020 align:middle line:84%
been chemically
strengthened, this

00:25:08.020 --> 00:25:11.920 align:middle line:84%
would be the level of tensile
stress the glass will see.

00:25:11.920 --> 00:25:16.420 align:middle line:84%
However, you notice that
this glass material,

00:25:16.420 --> 00:25:17.920 align:middle line:84%
once they are
properly strengthened,

00:25:17.920 --> 00:25:21.220 align:middle line:84%
they can have a compressive
stress of the order of 900

00:25:21.220 --> 00:25:22.940 align:middle line:90%
megapascals or above.

00:25:22.940 --> 00:25:26.420 align:middle line:84%
So it means even under
these pretty extreme bending

00:25:26.420 --> 00:25:29.820 align:middle line:84%
conditions, the
surface is still almost

00:25:29.820 --> 00:25:32.700 align:middle line:84%
in a tensile stress-free
state or even

00:25:32.700 --> 00:25:34.360 align:middle line:84%
still in a compressive
stress state.

00:25:34.360 --> 00:25:40.500 align:middle line:90%


00:25:40.500 --> 00:25:42.480 align:middle line:84%
Because of the native
compressive stress,

00:25:42.480 --> 00:25:45.780 align:middle line:84%
you have to add it on
top of this stress here.

00:25:45.780 --> 00:25:48.580 align:middle line:84%
So if you're under
neutral condition

00:25:48.580 --> 00:25:50.240 align:middle line:84%
or under compressive
stress condition,

00:25:50.240 --> 00:25:53.460 align:middle line:84%
obviously you're not going to
get a lot of crack propagation.

00:25:53.460 --> 00:25:56.820 align:middle line:84%
So that's why we see
that there's really

00:25:56.820 --> 00:26:00.380 align:middle line:90%
no breaking of physical laws.

00:26:00.380 --> 00:26:02.100 align:middle line:84%
The whole idea is
that as long as you

00:26:02.100 --> 00:26:04.140 align:middle line:84%
make the glass
material thin enough

00:26:04.140 --> 00:26:06.340 align:middle line:84%
and also apply
large enough surface

00:26:06.340 --> 00:26:08.740 align:middle line:84%
compressive stress through
chemical strengthening,

00:26:08.740 --> 00:26:11.700 align:middle line:84%
you will be able to prevent
any crack initiation, even

00:26:11.700 --> 00:26:13.640 align:middle line:84%
under these predicted
bending conditions.

00:26:13.640 --> 00:26:20.970 align:middle line:90%


00:26:20.970 --> 00:26:24.580 align:middle line:84%
So the whole idea is to get a
very thin piece of glass that

00:26:24.580 --> 00:26:27.140 align:middle line:84%
has a thickness
that's 30 microns,

00:26:27.140 --> 00:26:29.360 align:middle line:90%
about 1/3 of a sheet of paper.

00:26:29.360 --> 00:26:30.800 align:middle line:90%
So it's really very, very thin.

00:26:30.800 --> 00:26:38.687 align:middle line:90%


00:26:38.687 --> 00:26:40.520 align:middle line:84%
Now, one thing I do
want to mention, though,

00:26:40.520 --> 00:26:42.160 align:middle line:84%
about this particular
phone here,

00:26:42.160 --> 00:26:46.340 align:middle line:84%
Z Flip, if you look at the way
the process is demonstrated

00:26:46.340 --> 00:26:48.880 align:middle line:84%
here, the screen is actually
not one single-layer material.

00:26:48.880 --> 00:26:50.338 align:middle line:84%
They actually put
two layers there,

00:26:50.338 --> 00:26:52.020 align:middle line:84%
essentially a glass
that they also

00:26:52.020 --> 00:26:54.900 align:middle line:84%
put on top a polymer layer
as a protective coating

00:26:54.900 --> 00:26:57.140 align:middle line:90%
to prevent surface damage.

00:26:57.140 --> 00:26:59.620 align:middle line:84%
Downside is, polymer,
of course, is soft.

00:26:59.620 --> 00:27:02.485 align:middle line:84%
It's not scratch resistant,
even compared to glass.

00:27:02.485 --> 00:27:03.860 align:middle line:84%
And that's why
the phone actually

00:27:03.860 --> 00:27:06.660 align:middle line:84%
gets quite a bit of criticism
because of the poor ability

00:27:06.660 --> 00:27:08.400 align:middle line:84%
to withstand the
surface scratches.

00:27:08.400 --> 00:27:10.200 align:middle line:90%
But that's the trade off there.

00:27:10.200 --> 00:27:13.180 align:middle line:90%


00:27:13.180 --> 00:27:20.130 align:middle line:84%
So now, let's move beyond cover
materials and let's look at,

00:27:20.130 --> 00:27:24.690 align:middle line:84%
these are glass materials
with extremely high K steps.

00:27:24.690 --> 00:27:26.450 align:middle line:84%
You may recall that
K steps is basically

00:27:26.450 --> 00:27:28.970 align:middle line:84%
the diffusion distance of the
ions during the ion exchange

00:27:28.970 --> 00:27:29.690 align:middle line:90%
process.

00:27:29.690 --> 00:27:33.690 align:middle line:84%
So these are glass materials
with very high fracture

00:27:33.690 --> 00:27:36.970 align:middle line:84%
resistance compared to typical
materials because of large K

00:27:36.970 --> 00:27:39.850 align:middle line:84%
steps and extremely high
level of surface stress.

00:27:39.850 --> 00:27:42.290 align:middle line:84%
So these are the
materials that are

00:27:42.290 --> 00:27:46.370 align:middle line:84%
used for some
high-end applications,

00:27:46.370 --> 00:27:48.330 align:middle line:84%
for architectural
applications, for example.

00:27:48.330 --> 00:27:49.930 align:middle line:84%
They are also the
materials people use

00:27:49.930 --> 00:27:52.802 align:middle line:84%
on essentially military vehicles
as the window materials.

00:27:52.802 --> 00:27:55.510 align:middle line:84%
They can actually be bulletproof
because of very, very high level

00:27:55.510 --> 00:27:56.550 align:middle line:90%
of surface stress.

00:27:56.550 --> 00:27:58.690 align:middle line:84%
So let's take a look
at the chemistry

00:27:58.690 --> 00:28:01.090 align:middle line:84%
here and see how they
were able to achieve

00:28:01.090 --> 00:28:02.950 align:middle line:90%
these extremely high K steps.

00:28:02.950 --> 00:28:04.890 align:middle line:90%
Look at the K steps here.

00:28:04.890 --> 00:28:08.130 align:middle line:84%
These are typically
hundreds of microns K steps.

00:28:08.130 --> 00:28:12.650 align:middle line:84%
And in the extreme case, you can
even get 1-millimeter-thick K

00:28:12.650 --> 00:28:15.370 align:middle line:90%
steps.

00:28:15.370 --> 00:28:19.050 align:middle line:84%
So to get to this high
K steps, these are all

00:28:19.050 --> 00:28:22.210 align:middle line:90%
aluminum silicate glasses.

00:28:22.210 --> 00:28:24.210 align:middle line:84%
As we mentioned, you
have alumina there

00:28:24.210 --> 00:28:27.170 align:middle line:84%
because you want to essentially
boost the glass transition

00:28:27.170 --> 00:28:30.150 align:middle line:84%
temperature so you don't get
glass relaxation even if you do

00:28:30.150 --> 00:28:31.490 align:middle line:90%
a high temperature treatment.

00:28:31.490 --> 00:28:34.250 align:middle line:84%
You can use high temperature
to expedite the ionic diffusion

00:28:34.250 --> 00:28:34.850 align:middle line:90%
process.

00:28:34.850 --> 00:28:37.690 align:middle line:84%
So that's why you see that
pretty consistently, they

00:28:37.690 --> 00:28:38.850 align:middle line:90%
all contain alumina.

00:28:38.850 --> 00:28:43.010 align:middle line:84%
Also, the other thing is that
you notice that they always

00:28:43.010 --> 00:28:46.210 align:middle line:84%
contain a couple of percent or
few percent of magnesium oxide

00:28:46.210 --> 00:28:48.080 align:middle line:90%
or calcium oxide.

00:28:48.080 --> 00:28:49.830 align:middle line:84%
This is what we mentioned
in last lecture.

00:28:49.830 --> 00:28:51.247 align:middle line:84%
Empirically, people
have found out

00:28:51.247 --> 00:28:52.810 align:middle line:84%
that adding this
rare-earth oxide

00:28:52.810 --> 00:28:55.110 align:middle line:84%
helps the diffusion
of alkaline ions.

00:28:55.110 --> 00:28:57.710 align:middle line:90%


00:28:57.710 --> 00:29:02.450 align:middle line:84%
And then in terms of the
ion exchange process,

00:29:02.450 --> 00:29:04.650 align:middle line:84%
you also notice that
they use a mixed ion

00:29:04.650 --> 00:29:07.303 align:middle line:84%
bath for these ones
with very high K steps.

00:29:07.303 --> 00:29:09.470 align:middle line:84%
This is also something we
mentioned in last lecture.

00:29:09.470 --> 00:29:11.810 align:middle line:84%
If you do a mixed ion
bath, this will actually

00:29:11.810 --> 00:29:14.370 align:middle line:84%
also help to increase
the diffusion of the ions

00:29:14.370 --> 00:29:15.390 align:middle line:90%
into the surface.

00:29:15.390 --> 00:29:19.890 align:middle line:84%
Now, despite all this
treatment, this process still

00:29:19.890 --> 00:29:23.290 align:middle line:84%
takes a very long time just
because of the kinetics

00:29:23.290 --> 00:29:25.330 align:middle line:90%
of diffusion process.

00:29:25.330 --> 00:29:30.210 align:middle line:84%
So look at the time it takes
to process the glass materials.

00:29:30.210 --> 00:29:36.530 align:middle line:84%
They range from one day to the
case of half a month for the ion

00:29:36.530 --> 00:29:37.497 align:middle line:90%
strengthening process.

00:29:37.497 --> 00:29:39.330 align:middle line:84%
They just allow ion to
essentially penetrate

00:29:39.330 --> 00:29:42.610 align:middle line:84%
through this large
surface thickness.

00:29:42.610 --> 00:29:45.130 align:middle line:84%
So that's an extreme
example where

00:29:45.130 --> 00:29:47.770 align:middle line:84%
you can actually get to this
very high strength glass

00:29:47.770 --> 00:29:48.487 align:middle line:90%
materials.

00:29:48.487 --> 00:29:50.570 align:middle line:84%
Now these are actually
some quantitative data just

00:29:50.570 --> 00:29:52.912 align:middle line:84%
to show you that in
this first plot here,

00:29:52.912 --> 00:29:55.370 align:middle line:84%
this is just to illustrate that
this kind of mixed ion bath

00:29:55.370 --> 00:29:58.810 align:middle line:84%
actually helps with promoting
the diffusion kinetics.

00:29:58.810 --> 00:30:00.230 align:middle line:90%
So you see these dots here.

00:30:00.230 --> 00:30:03.240 align:middle line:90%


00:30:03.240 --> 00:30:06.270 align:middle line:84%
You can see from the
horizontal axis here,

00:30:06.270 --> 00:30:08.050 align:middle line:84%
this is basically the
depth below surface

00:30:08.050 --> 00:30:09.390 align:middle line:90%
where the ion has diffused into.

00:30:09.390 --> 00:30:12.170 align:middle line:84%
You can clearly see that
if you mix into a mixed ion

00:30:12.170 --> 00:30:15.570 align:middle line:84%
bath with sodium or potassium,
you get more penetration

00:30:15.570 --> 00:30:17.770 align:middle line:84%
into the glass material
compared to the ones using

00:30:17.770 --> 00:30:19.290 align:middle line:90%
only one kind of ionic species.

00:30:19.290 --> 00:30:22.275 align:middle line:90%


00:30:22.275 --> 00:30:24.130 align:middle line:90%
Weibull plot again.

00:30:24.130 --> 00:30:26.690 align:middle line:84%
So on the Weibull plot,
we also see that we

00:30:26.690 --> 00:30:29.490 align:middle line:90%
can get much higher strength.

00:30:29.490 --> 00:30:31.038 align:middle line:84%
These are the
points that actually

00:30:31.038 --> 00:30:32.830 align:middle line:84%
correspond to strengthened
glass materials.

00:30:32.830 --> 00:30:35.330 align:middle line:84%
These are the ones that are
actually not strengthened.

00:30:35.330 --> 00:30:39.370 align:middle line:84%
With mixed ion bath, these
are the ones with the highest

00:30:39.370 --> 00:30:40.750 align:middle line:90%
strength, the green dots.

00:30:40.750 --> 00:30:42.550 align:middle line:84%
These are actually with
the mixed ion bath.

00:30:42.550 --> 00:30:44.090 align:middle line:90%
So they're high strength.

00:30:44.090 --> 00:30:48.970 align:middle line:84%
At the same time, you also see
the same thing, improved Weibull

00:30:48.970 --> 00:30:51.330 align:middle line:84%
modulus, indicating that the
material after ion exchange

00:30:51.330 --> 00:30:53.550 align:middle line:84%
becomes more consistent,
in terms of quality.

00:30:53.550 --> 00:30:57.690 align:middle line:90%


00:30:57.690 --> 00:31:01.673 align:middle line:84%
All right, so these are for
essentially flat-panel glasses,

00:31:01.673 --> 00:31:03.090 align:middle line:84%
how you use chemical
strengthening

00:31:03.090 --> 00:31:06.050 align:middle line:84%
to increase its ability
to resist fracturing.

00:31:06.050 --> 00:31:09.210 align:middle line:84%
The other case where ion or
chemical strengthening or ion

00:31:09.210 --> 00:31:13.520 align:middle line:84%
exchange is widely used
is for glass containers,

00:31:13.520 --> 00:31:16.600 align:middle line:84%
especially vials used for
pharmaceutical applications.

00:31:16.600 --> 00:31:19.440 align:middle line:84%
This is one case where you
cannot do conventional thermal

00:31:19.440 --> 00:31:20.520 align:middle line:90%
tempering.

00:31:20.520 --> 00:31:24.020 align:middle line:84%
Because of the geometry,
inherent strange geometry

00:31:24.020 --> 00:31:25.840 align:middle line:84%
and non-uniform
thickness of a vial,

00:31:25.840 --> 00:31:28.120 align:middle line:84%
if you do thermal
tempering, it's

00:31:28.120 --> 00:31:30.480 align:middle line:84%
going to lead to a very
non-uniform cooling profile,

00:31:30.480 --> 00:31:32.620 align:middle line:84%
therefore leading to
non-uniform thermal stress.

00:31:32.620 --> 00:31:36.840 align:middle line:84%
So that's why people basically
use a chemical toughening

00:31:36.840 --> 00:31:41.200 align:middle line:84%
to strengthen these vials for
pharmaceutical applications.

00:31:41.200 --> 00:31:43.000 align:middle line:84%
So what I'm quoting
here, this is actually

00:31:43.000 --> 00:31:46.920 align:middle line:84%
an article that's
from 2020, essentially

00:31:46.920 --> 00:31:50.600 align:middle line:84%
at the peak of COVID,
where people are actually

00:31:50.600 --> 00:31:54.760 align:middle line:84%
racing to develop
vaccines against COVID.

00:31:54.760 --> 00:31:58.240 align:middle line:84%
One of the issues they
faced there is not just

00:31:58.240 --> 00:32:00.920 align:middle line:84%
to scale up the manufacturing
of the vaccine itself,

00:32:00.920 --> 00:32:04.760 align:middle line:84%
but also the container that
actually contain those vaccines.

00:32:04.760 --> 00:32:07.120 align:middle line:84%
And this is not a small
problem because you

00:32:07.120 --> 00:32:11.360 align:middle line:84%
need billions of
glass containers

00:32:11.360 --> 00:32:15.880 align:middle line:84%
so that they were able
to ship this COVID virus

00:32:15.880 --> 00:32:18.040 align:middle line:90%
products to around the world.

00:32:18.040 --> 00:32:20.180 align:middle line:84%
The requirement is also
pretty stringent here.

00:32:20.180 --> 00:32:24.130 align:middle line:90%


00:32:24.130 --> 00:32:27.660 align:middle line:84%
For this vials used
to contain vaccines,

00:32:27.660 --> 00:32:30.440 align:middle line:84%
they need to withstand a
very wide temperature range.

00:32:30.440 --> 00:32:33.600 align:middle line:84%
You may recall that a
lot of the vaccines, they

00:32:33.600 --> 00:32:35.760 align:middle line:84%
had to be stored at
cryogenic temperatures.

00:32:35.760 --> 00:32:37.760 align:middle line:84%
For example, Pfizer's
vaccine, they

00:32:37.760 --> 00:32:39.960 align:middle line:84%
have to store at negative
70 degrees Celsius.

00:32:39.960 --> 00:32:42.720 align:middle line:84%
They also need to
withstand high temperatures

00:32:42.720 --> 00:32:46.200 align:middle line:84%
because these containers
need to be sterilized.

00:32:46.200 --> 00:32:48.690 align:middle line:84%
And they usually sterilized
at high temperature, 200, 300

00:32:48.690 --> 00:32:49.840 align:middle line:90%
degrees Celsius.

00:32:49.840 --> 00:32:53.100 align:middle line:84%
So unlike everyday-use
glass material,

00:32:53.100 --> 00:32:56.520 align:middle line:84%
which usually sees a much
narrower temperature window, all

00:32:56.520 --> 00:32:58.040 align:middle line:84%
the pharmaceutical
vials, they have

00:32:58.040 --> 00:33:02.360 align:middle line:84%
to be specified to operate from
negative 100 degrees Celsius

00:33:02.360 --> 00:33:06.280 align:middle line:84%
to positive 400 degrees Celsius,
which is a very wide temperature

00:33:06.280 --> 00:33:08.300 align:middle line:84%
range compared to other
kind of glass products.

00:33:08.300 --> 00:33:11.960 align:middle line:90%


00:33:11.960 --> 00:33:15.920 align:middle line:84%
They also operate in a
potentially chemically corrosive

00:33:15.920 --> 00:33:16.540 align:middle line:90%
environment.

00:33:16.540 --> 00:33:18.040 align:middle line:84%
They have been in contact
with aqueous solution

00:33:18.040 --> 00:33:19.293 align:middle line:90%
for a long period of time.

00:33:19.293 --> 00:33:20.960 align:middle line:84%
So you don't want any
kind of components

00:33:20.960 --> 00:33:23.400 align:middle line:84%
from the glass to actually
leach into the solution.

00:33:23.400 --> 00:33:28.560 align:middle line:84%
They also have to have
a very high resistance

00:33:28.560 --> 00:33:34.440 align:middle line:84%
to surface damage, essentially
resistant to wear and tear.

00:33:34.440 --> 00:33:36.560 align:middle line:84%
And most of their
requirements actually

00:33:36.560 --> 00:33:38.760 align:middle line:84%
come from the
manufacturing side.

00:33:38.760 --> 00:33:41.280 align:middle line:84%
You can imagine that if you
have a very delicate glass

00:33:41.280 --> 00:33:43.160 align:middle line:84%
product, then you
have to be very, very

00:33:43.160 --> 00:33:46.400 align:middle line:84%
careful in handling them
during manufacturing

00:33:46.400 --> 00:33:47.680 align:middle line:90%
and during packaging.

00:33:47.680 --> 00:33:51.760 align:middle line:84%
So that actually
lowers the throughput.

00:33:51.760 --> 00:33:54.200 align:middle line:84%
So to use high
throughput process,

00:33:54.200 --> 00:33:57.220 align:middle line:84%
they also require the glass
with very high surface strength.

00:33:57.220 --> 00:34:02.594 align:middle line:90%


00:34:02.594 --> 00:34:06.105 align:middle line:84%
So that's why-- this
is one example--

00:34:06.105 --> 00:34:08.480 align:middle line:84%
for example, Corning actually
developed this special line

00:34:08.480 --> 00:34:10.264 align:middle line:90%
of glass they call Valor Glass.

00:34:10.264 --> 00:34:11.639 align:middle line:84%
It has several
important features

00:34:11.639 --> 00:34:13.239 align:middle line:84%
that make it suited for
this particular kind

00:34:13.239 --> 00:34:14.800 align:middle line:84%
of pharmaceutical
applications here.

00:34:14.800 --> 00:34:17.420 align:middle line:84%
The first one is
that it's boron-free.

00:34:17.420 --> 00:34:20.360 align:middle line:90%


00:34:20.360 --> 00:34:23.040 align:middle line:84%
Now we have mentioned
about boron, essentially

00:34:23.040 --> 00:34:24.159 align:middle line:90%
like Pyrex glass.

00:34:24.159 --> 00:34:26.903 align:middle line:84%
Pyrex glass is used in a
lot of these applications

00:34:26.903 --> 00:34:28.320 align:middle line:84%
when you're dealing
with chemicals

00:34:28.320 --> 00:34:31.480 align:middle line:84%
because of essentially you have
this tightly connected network.

00:34:31.480 --> 00:34:33.260 align:middle line:84%
It has good thermal
shock resistance.

00:34:33.260 --> 00:34:35.960 align:middle line:84%
It's also more
chemically resistant.

00:34:35.960 --> 00:34:40.280 align:middle line:84%
However, when it comes
to pharmaceutical vials,

00:34:40.280 --> 00:34:42.639 align:middle line:84%
people don't like to
use boron because it

00:34:42.639 --> 00:34:47.040 align:middle line:84%
can cause a problem of
so-called delamination.

00:34:47.040 --> 00:34:48.400 align:middle line:90%
So why do you get delamination?

00:34:48.400 --> 00:34:50.400 align:middle line:84%
First thing, it has to
do with the manufacturing

00:34:50.400 --> 00:34:51.719 align:middle line:90%
process of these vials.

00:34:51.719 --> 00:34:54.120 align:middle line:84%
So if you have a regular
glass bottle, the way

00:34:54.120 --> 00:34:55.848 align:middle line:90%
you make it is by blow molding.

00:34:55.848 --> 00:34:57.640 align:middle line:84%
You blow compressed
air through the parison

00:34:57.640 --> 00:34:59.920 align:middle line:84%
and it conforms to the
shape to get the bottle.

00:34:59.920 --> 00:35:03.640 align:middle line:84%
Blow molding is not used for
this pharmaceutical vials

00:35:03.640 --> 00:35:04.420 align:middle line:90%
for a few reasons.

00:35:04.420 --> 00:35:07.372 align:middle line:84%
First thing, blow molding,
borosilicate glass typically

00:35:07.372 --> 00:35:09.330 align:middle line:84%
has a much higher glass
transition temperature,

00:35:09.330 --> 00:35:11.170 align:middle line:84%
so it means the processing
temperature is a lot higher.

00:35:11.170 --> 00:35:13.010 align:middle line:84%
So it makes it a more
challenging process.

00:35:13.010 --> 00:35:16.150 align:middle line:84%
Second is that blow
molding typically

00:35:16.150 --> 00:35:17.910 align:middle line:84%
causes very large
plastic deformation

00:35:17.910 --> 00:35:19.868 align:middle line:84%
or very large deformation,
viscous deformation,

00:35:19.868 --> 00:35:21.150 align:middle line:90%
during the process.

00:35:21.150 --> 00:35:23.390 align:middle line:84%
Large deformation
means that there's also

00:35:23.390 --> 00:35:26.690 align:middle line:84%
a much higher residual stress,
as you can see from the bottle.

00:35:26.690 --> 00:35:28.090 align:middle line:90%
I showed you the plastic bottle.

00:35:28.090 --> 00:35:31.030 align:middle line:84%
It has lots of residual stress
in blow-molded bottle there.

00:35:31.030 --> 00:35:33.470 align:middle line:84%
And those residual
stress can eventually

00:35:33.470 --> 00:35:35.335 align:middle line:84%
lead to cracking and
damage of the material.

00:35:35.335 --> 00:35:37.710 align:middle line:84%
So for pharmaceutical industry
where they absolutely want

00:35:37.710 --> 00:35:40.170 align:middle line:84%
everything to be perfect,
you cannot do that.

00:35:40.170 --> 00:35:45.910 align:middle line:90%


00:35:45.910 --> 00:35:49.710 align:middle line:84%
So for these kind of vials,
the process to make it

00:35:49.710 --> 00:35:52.150 align:middle line:90%
is so-called converting.

00:35:52.150 --> 00:35:56.070 align:middle line:84%
Converting essentially means
that you have a long glass tube.

00:35:56.070 --> 00:35:59.190 align:middle line:84%
They start out by
cutting it into sections.

00:35:59.190 --> 00:36:01.230 align:middle line:84%
They then sealed
one end and then

00:36:01.230 --> 00:36:03.270 align:middle line:90%
shape it into the vial shape.

00:36:03.270 --> 00:36:07.750 align:middle line:84%
So that process gives you
less deformation and less

00:36:07.750 --> 00:36:10.590 align:middle line:84%
residual stress compared
to a blow-molding process.

00:36:10.590 --> 00:36:13.030 align:middle line:84%
However, the conversion process
involves high temperature

00:36:13.030 --> 00:36:13.530 align:middle line:90%
treatment.

00:36:13.530 --> 00:36:14.905 align:middle line:84%
You need to have
high temperature

00:36:14.905 --> 00:36:16.670 align:middle line:84%
to actually induce
viscous deformation

00:36:16.670 --> 00:36:18.350 align:middle line:90%
and seal it at one end.

00:36:18.350 --> 00:36:20.830 align:middle line:84%
So during high-temperature
treatment,

00:36:20.830 --> 00:36:25.110 align:middle line:84%
boron can preferentially
leach out from the glass

00:36:25.110 --> 00:36:29.270 align:middle line:84%
and it actually vaporizes
in the form of borosilicate.

00:36:29.270 --> 00:36:33.590 align:middle line:84%
So this vaporized
boron, some of it

00:36:33.590 --> 00:36:37.350 align:middle line:84%
can get redeposited in parts
of the glass container which

00:36:37.350 --> 00:36:39.790 align:middle line:84%
has a lower temperature
during the process.

00:36:39.790 --> 00:36:42.990 align:middle line:84%
So this redeposited
boron is then

00:36:42.990 --> 00:36:44.990 align:middle line:84%
going to attach to the
surface of container

00:36:44.990 --> 00:36:49.050 align:middle line:84%
forming these islands or patches
with chemical inhomogeneity.

00:36:49.050 --> 00:36:54.310 align:middle line:84%
Then, the remaining glass
will become boron-depleted.

00:36:54.310 --> 00:36:57.430 align:middle line:84%
So boron-depleted
portion becomes more

00:36:57.430 --> 00:36:59.710 align:middle line:90%
susceptible to chemical attack.

00:36:59.710 --> 00:37:02.970 align:middle line:84%
Remember, when glass comes into
contact with aqueous solution,

00:37:02.970 --> 00:37:04.670 align:middle line:84%
any kind of alkaline
atom can leach

00:37:04.670 --> 00:37:06.087 align:middle line:84%
reach out into the
solution there,

00:37:06.087 --> 00:37:08.045 align:middle line:84%
and it eventually increases
the pH value, which

00:37:08.045 --> 00:37:09.390 align:middle line:90%
accelerates a chemical attack.

00:37:09.390 --> 00:37:14.293 align:middle line:84%
So then essentially these
weaker part of the glasses,

00:37:14.293 --> 00:37:16.710 align:middle line:84%
they will then delaminate from
the glass container surface

00:37:16.710 --> 00:37:18.930 align:middle line:84%
and essentially form
small tiny little flakes

00:37:18.930 --> 00:37:21.150 align:middle line:90%
that goes into the solution.

00:37:21.150 --> 00:37:26.670 align:middle line:84%
So delamination turns out to be
one of the biggest problems that

00:37:26.670 --> 00:37:32.350 align:middle line:84%
compromised the yield of
this kind of vaccine product.

00:37:32.350 --> 00:37:36.070 align:middle line:84%
So that's why Corning
want to go with this kind

00:37:36.070 --> 00:37:38.990 align:middle line:84%
of boron-free formulation,
which helps you to essentially

00:37:38.990 --> 00:37:42.830 align:middle line:84%
minimize this kind of a
boron volatilization issue

00:37:42.830 --> 00:37:46.710 align:middle line:84%
and reduce this kind
of delamination impact.

00:37:46.710 --> 00:37:48.250 align:middle line:90%
So that's one thing.

00:37:48.250 --> 00:37:51.390 align:middle line:84%
Second thing is that they also
develop a proprietary surface

00:37:51.390 --> 00:37:54.030 align:middle line:84%
coating, which helps you
to prevent any kind of wear

00:37:54.030 --> 00:37:54.690 align:middle line:90%
and tear.

00:37:54.690 --> 00:37:56.870 align:middle line:84%
As I said, this is important
for increasing the manufacturing

00:37:56.870 --> 00:37:57.570 align:middle line:90%
throughput.

00:37:57.570 --> 00:38:03.030 align:middle line:84%
And they also do ion exchange to
enhance the mechanical strength.

00:38:03.030 --> 00:38:05.302 align:middle line:84%
If you look at the ion
exchange process they use,

00:38:05.302 --> 00:38:07.510 align:middle line:84%
this is actually a picture
taken from their factories

00:38:07.510 --> 00:38:10.390 align:middle line:84%
where they're actually
manufacturing these glass vials.

00:38:10.390 --> 00:38:14.950 align:middle line:84%
You see these huge cassettes
where they essentially put down

00:38:14.950 --> 00:38:17.550 align:middle line:84%
these vials, essentially
layer by layer,

00:38:17.550 --> 00:38:21.150 align:middle line:84%
and then they put all of them
into a huge molten salt chemical

00:38:21.150 --> 00:38:22.230 align:middle line:90%
bath here.

00:38:22.230 --> 00:38:25.950 align:middle line:84%
So this is a very
highly parallel process,

00:38:25.950 --> 00:38:29.210 align:middle line:84%
completely automated, that gives
you extremely high throughput.

00:38:29.210 --> 00:38:32.430 align:middle line:84%
So you can actually manufacture
billions of these bottles

00:38:32.430 --> 00:38:33.690 align:middle line:90%
during a short period of time.

00:38:33.690 --> 00:38:39.950 align:middle line:90%


00:38:39.950 --> 00:38:42.790 align:middle line:84%
All right, so far
we've been talking

00:38:42.790 --> 00:38:45.830 align:middle line:84%
about different kinds of
strengthening processes

00:38:45.830 --> 00:38:48.350 align:middle line:90%
by inducing compressive stress.

00:38:48.350 --> 00:38:52.950 align:middle line:84%
I want to mention that to get
the optimal performance of glass

00:38:52.950 --> 00:38:56.990 align:middle line:84%
materials, you can also try to
combine it with other materials

00:38:56.990 --> 00:38:59.630 align:middle line:84%
to create a composite
that helps you

00:38:59.630 --> 00:39:02.850 align:middle line:84%
to further boost their
properties, reduce damage.

00:39:02.850 --> 00:39:06.510 align:middle line:84%
The most simple form of this
kind of composite materials

00:39:06.510 --> 00:39:08.150 align:middle line:90%
is lamination.

00:39:08.150 --> 00:39:11.750 align:middle line:84%
So in laminated
glass, basically you

00:39:11.750 --> 00:39:14.430 align:middle line:84%
have alternating layers
between glass and polymers.

00:39:14.430 --> 00:39:16.670 align:middle line:84%
You have a glass,
put a polymer sheet,

00:39:16.670 --> 00:39:18.570 align:middle line:84%
sandwich it between
another layer of glass.

00:39:18.570 --> 00:39:23.350 align:middle line:84%
You can repeat the process
to get multilayer laminates.

00:39:23.350 --> 00:39:25.650 align:middle line:84%
Now the advantage, there
are twofold advantage here.

00:39:25.650 --> 00:39:27.830 align:middle line:84%
One is that these soft
polymers essentially

00:39:27.830 --> 00:39:30.350 align:middle line:84%
helps you absorb the deformation
and helps you spread it

00:39:30.350 --> 00:39:31.690 align:middle line:90%
over the larger glass sheet.

00:39:31.690 --> 00:39:36.270 align:middle line:84%
Also, even if you fracture
one pane of glass,

00:39:36.270 --> 00:39:40.350 align:middle line:84%
the polymer tends to
hold the broken pieces

00:39:40.350 --> 00:39:43.890 align:middle line:84%
together so that you don't
have large shards falling down,

00:39:43.890 --> 00:39:46.510 align:middle line:84%
which may potentially
injure people.

00:39:46.510 --> 00:39:49.550 align:middle line:84%
So that's why this kind
of laminated glass, this

00:39:49.550 --> 00:39:51.350 align:middle line:84%
is a standard glass
material people use

00:39:51.350 --> 00:39:52.930 align:middle line:90%
in architectural applications.

00:39:52.930 --> 00:39:56.790 align:middle line:84%
So I'm actually giving
you one example here.

00:39:56.790 --> 00:39:59.470 align:middle line:84%
This is the Skywalk
at Grand Canyon.

00:39:59.470 --> 00:40:02.060 align:middle line:90%
Any of you have been there?

00:40:02.060 --> 00:40:03.260 align:middle line:90%
It doesn't matter.

00:40:03.260 --> 00:40:05.620 align:middle line:84%
Most of the building
classes, they

00:40:05.620 --> 00:40:06.900 align:middle line:90%
are actually laminated glass.

00:40:06.900 --> 00:40:11.260 align:middle line:84%
But in the Skywalk, they
have basically a glass bridge

00:40:11.260 --> 00:40:12.520 align:middle line:90%
with glass bottom.

00:40:12.520 --> 00:40:14.500 align:middle line:84%
You can actually walk
on top of Grand Canyon

00:40:14.500 --> 00:40:17.000 align:middle line:84%
and you can look down, take
pictures, post them on Instagram

00:40:17.000 --> 00:40:17.900 align:middle line:90%
or whatever.

00:40:17.900 --> 00:40:18.780 align:middle line:90%
That's what it's for.

00:40:18.780 --> 00:40:20.918 align:middle line:90%
So, not going to go there?

00:40:20.918 --> 00:40:21.460 align:middle line:90%
AUDIENCE: No.

00:40:21.460 --> 00:40:22.322 align:middle line:90%
[LAUGHTER]

00:40:22.322 --> 00:40:24.280 align:middle line:84%
JUEJUN HU: Not going to
pay to go there, right?

00:40:24.280 --> 00:40:26.557 align:middle line:90%
AUDIENCE: No.

00:40:26.557 --> 00:40:27.140 align:middle line:90%
JUEJUN HU: OK.

00:40:27.140 --> 00:40:28.500 align:middle line:90%
So that's one example.

00:40:28.500 --> 00:40:31.500 align:middle line:84%
Now, you can also make this
laminated glass actually

00:40:31.500 --> 00:40:32.620 align:middle line:90%
bulletproof.

00:40:32.620 --> 00:40:34.200 align:middle line:84%
I will show you a
little video here.

00:40:34.200 --> 00:40:35.340 align:middle line:90%
[VIDEO PLAYBACK]

00:40:35.340 --> 00:40:40.380 align:middle line:84%
- What you might not know
is performance flattening.

00:40:40.380 --> 00:40:41.780 align:middle line:90%
- It's not very targeted.

00:40:41.780 --> 00:40:44.300 align:middle line:90%


00:40:44.300 --> 00:40:47.380 align:middle line:84%
- Meet Trent Kimball
from San Antonio, Texas.

00:40:47.380 --> 00:40:51.700 align:middle line:84%
He's the head of a firm
that makes armored cars.

00:40:51.700 --> 00:40:54.360 align:middle line:84%
- We'll take a common,
everyday vehicle,

00:40:54.360 --> 00:40:57.820 align:middle line:84%
take out the entire interior
and put in our armored materials

00:40:57.820 --> 00:41:02.620 align:middle line:84%
in the doors, the windows, the
roof, the floor, the fuel tanks,

00:41:02.620 --> 00:41:04.980 align:middle line:84%
and basically make
it a cocoon of armor

00:41:04.980 --> 00:41:07.500 align:middle line:84%
for the occupants
inside the vehicle.

00:41:07.500 --> 00:41:09.960 align:middle line:84%
These vehicles are going to
politicians, businessmen,

00:41:09.960 --> 00:41:14.500 align:middle line:84%
celebrities, and we've even
offered them for the Pope.

00:41:14.500 --> 00:41:16.860 align:middle line:84%
- One day, Trent got so
tired of people asking him

00:41:16.860 --> 00:41:19.820 align:middle line:84%
if the glass in his vehicles
could really stop a bullet,

00:41:19.820 --> 00:41:22.220 align:middle line:90%
he decided to prove it.

00:41:22.220 --> 00:41:23.800 align:middle line:90%
- My name is Lawrence Caso.

00:41:23.800 --> 00:41:25.460 align:middle line:90%
This is my AK-47.

00:41:25.460 --> 00:41:27.500 align:middle line:84%
And today I'm gonna
shoot my boss.

00:41:27.500 --> 00:41:28.960 align:middle line:90%
Don't try this at home.

00:41:28.960 --> 00:41:33.789 align:middle line:90%


00:41:33.789 --> 00:41:37.156 align:middle line:90%
[GUNSHOTS]

00:41:37.156 --> 00:41:41.705 align:middle line:90%


00:41:41.705 --> 00:41:43.580 align:middle line:84%
- The only time I've
had a little bit of fear

00:41:43.580 --> 00:41:46.100 align:middle line:84%
enter my body was actually
looking at the shooter,

00:41:46.100 --> 00:41:48.380 align:middle line:84%
and the shooter's
eyes got really big.

00:41:48.380 --> 00:41:51.700 align:middle line:84%
So that's the only
time I actually

00:41:51.700 --> 00:41:53.300 align:middle line:90%
felt a little bit nervous.

00:41:53.300 --> 00:41:55.510 align:middle line:84%
- Shooting at my boss is
actually pretty interesting.

00:41:55.510 --> 00:41:57.760 align:middle line:84%
I bet there's a lot of people
who would like to do it,

00:41:57.760 --> 00:41:58.860 align:middle line:90%
but I like my boss.

00:41:58.860 --> 00:42:01.620 align:middle line:84%
He's pretty cool,
so I'm glad he's OK.

00:42:01.620 --> 00:42:04.700 align:middle line:84%
- Yes, Trent lived and
uploaded this astonishing clip

00:42:04.700 --> 00:42:09.220 align:middle line:84%
to the internet, where it
has almost 6 million hits.

00:42:09.220 --> 00:42:14.100 align:middle line:84%
But exactly how did that
windshield save his skin?

00:42:14.100 --> 00:42:17.060 align:middle line:84%
- The way you make glass absorb
the energy from something like

00:42:17.060 --> 00:42:20.980 align:middle line:84%
an AK-47 is that you have
to make laminated glass.

00:42:20.980 --> 00:42:23.300 align:middle line:84%
So you'll have a layer
of glass, and then

00:42:23.300 --> 00:42:25.592 align:middle line:84%
you'll have a layer of a
material called polycarbonate,

00:42:25.592 --> 00:42:27.425 align:middle line:84%
and then you'll have
another layer of glass,

00:42:27.425 --> 00:42:29.040 align:middle line:84%
and another layer
of polycarbonate,

00:42:29.040 --> 00:42:31.780 align:middle line:84%
and then so on and so on and
so on to make a thick window.

00:42:31.780 --> 00:42:33.380 align:middle line:90%
- This is a composite.

00:42:33.380 --> 00:42:36.740 align:middle line:84%
And composites are used when
you want the properties of two

00:42:36.740 --> 00:42:39.260 align:middle line:84%
different materials, you
want to put them together

00:42:39.260 --> 00:42:40.440 align:middle line:90%
for different purposes.

00:42:40.440 --> 00:42:42.500 align:middle line:90%
[GUNSHOT]

00:42:42.500 --> 00:42:44.780 align:middle line:84%
If you were to just to have
a thin piece of plastic,

00:42:44.780 --> 00:42:46.640 align:middle line:84%
a bullet would easily
penetrate that.

00:42:46.640 --> 00:42:48.260 align:middle line:84%
If you just have
a piece of glass,

00:42:48.260 --> 00:42:50.700 align:middle line:84%
the bullet would cause
it to completely shatter.

00:42:50.700 --> 00:42:53.740 align:middle line:84%
You put those
together and the glass

00:42:53.740 --> 00:42:58.300 align:middle line:84%
disperses that force of that
bullet over a larger area,

00:42:58.300 --> 00:43:02.500 align:middle line:84%
and then the plastic
can absorb that force.

00:43:02.500 --> 00:43:06.520 align:middle line:84%
- Aside from the AK-47 the M16
and other military-type weapons,

00:43:06.520 --> 00:43:10.100 align:middle line:84%
we can also stop the hand
grenades and also right up

00:43:10.100 --> 00:43:12.900 align:middle line:90%
to the 50-caliber round.

00:43:12.900 --> 00:43:16.080 align:middle line:84%
- So thanks to the laminated
glass, Trent dodged not one,

00:43:16.080 --> 00:43:19.620 align:middle line:84%
but three bullets from a
lethal semi-automatic rifle.

00:43:19.620 --> 00:43:22.280 align:middle line:84%
The really scary part
was still to come.

00:43:22.280 --> 00:43:23.900 align:middle line:90%
- I did not tell my wife.

00:43:23.900 --> 00:43:27.200 align:middle line:84%
She wasn't going to
know until after.

00:43:27.200 --> 00:43:28.643 align:middle line:90%
[GUNSHOT]

00:43:28.643 --> 00:43:30.060 align:middle line:84%
Now she says we
can't do it again.

00:43:30.060 --> 00:43:30.980 align:middle line:90%
[END PLAYBACK]

00:43:30.980 --> 00:43:33.580 align:middle line:84%
JUEJUN HU: OK, so
now this is actually

00:43:33.580 --> 00:43:35.880 align:middle line:84%
some scientific literature
to prove that indeed,

00:43:35.880 --> 00:43:38.780 align:middle line:84%
laminated glass
actually helps increase

00:43:38.780 --> 00:43:40.400 align:middle line:90%
the strength of glass products.

00:43:40.400 --> 00:43:43.620 align:middle line:84%
So you can see from here, if you
have a monolithic piece of glass

00:43:43.620 --> 00:43:46.140 align:middle line:84%
versus glass with laminates
and different thickness

00:43:46.140 --> 00:43:48.740 align:middle line:84%
of the polymer layers, you
can see an apparent increase

00:43:48.740 --> 00:43:50.520 align:middle line:90%
of the fracture strength.

00:43:50.520 --> 00:43:53.240 align:middle line:84%
So this is
scientifically validated.

00:43:53.240 --> 00:43:57.130 align:middle line:84%
You can actually help
improve the strength.

00:43:57.130 --> 00:43:59.810 align:middle line:84%
Now I just want to mention
that you can actually take

00:43:59.810 --> 00:44:03.530 align:middle line:90%
this design to another level.

00:44:03.530 --> 00:44:06.650 align:middle line:84%
In addition to increasing the
strength of glass materials,

00:44:06.650 --> 00:44:08.730 align:middle line:84%
you can also use it
to actually create

00:44:08.730 --> 00:44:11.130 align:middle line:84%
highly flexible and
bendable glass devices

00:44:11.130 --> 00:44:14.730 align:middle line:84%
by using essentially this kind
of a laminated or multi-layer

00:44:14.730 --> 00:44:15.930 align:middle line:90%
design.

00:44:15.930 --> 00:44:18.203 align:middle line:84%
So what I'm showing you
here on the left-hand side,

00:44:18.203 --> 00:44:20.370 align:middle line:84%
this is how you would
actually make a foldable glass

00:44:20.370 --> 00:44:21.450 align:middle line:90%
device, as I mentioned.

00:44:21.450 --> 00:44:23.410 align:middle line:90%
I showed you on the board.

00:44:23.410 --> 00:44:26.690 align:middle line:90%
Basically, you bend it.

00:44:26.690 --> 00:44:28.830 align:middle line:84%
At the top, you have a
tensile strength, bottom,

00:44:28.830 --> 00:44:29.950 align:middle line:84%
the compressive
strength, in the middle,

00:44:29.950 --> 00:44:31.867 align:middle line:84%
you have a neutral plane
or neutral axis where

00:44:31.867 --> 00:44:33.290 align:middle line:90%
stress essentially vanishes.

00:44:33.290 --> 00:44:35.063 align:middle line:84%
Now, this design
is actually useful

00:44:35.063 --> 00:44:36.730 align:middle line:84%
because people use
it to create all type

00:44:36.730 --> 00:44:39.210 align:middle line:84%
of flexible electronic or
flexible photonic device

00:44:39.210 --> 00:44:40.010 align:middle line:90%
designs.

00:44:40.010 --> 00:44:42.930 align:middle line:84%
What they will do is they
can put their device, which

00:44:42.930 --> 00:44:45.790 align:middle line:84%
is very sensitive strength,
you don't want to damage it.

00:44:45.790 --> 00:44:48.730 align:middle line:84%
They will try to locate it
right in the middle here

00:44:48.730 --> 00:44:51.092 align:middle line:84%
at the neutral plane
where the stress vanishes.

00:44:51.092 --> 00:44:53.550 align:middle line:84%
So then regardless of how you
actually bend your structure,

00:44:53.550 --> 00:44:54.925 align:middle line:84%
your critical
device is not going

00:44:54.925 --> 00:44:57.010 align:middle line:84%
to get damaged because
the actual stress on that

00:44:57.010 --> 00:44:58.970 align:middle line:90%
is actually 0.

00:44:58.970 --> 00:45:00.930 align:middle line:84%
Now, one downside
about this design

00:45:00.930 --> 00:45:07.930 align:middle line:84%
here is that your devices must
be embedded in your substrate.

00:45:07.930 --> 00:45:10.010 align:middle line:84%
This could be an
issue, for example,

00:45:10.010 --> 00:45:13.890 align:middle line:84%
if you have devices that
actually dissipate lots of heat.

00:45:13.890 --> 00:45:15.970 align:middle line:84%
Usually the flexible
material around it

00:45:15.970 --> 00:45:17.650 align:middle line:84%
is some kind of
polymer, which is pretty

00:45:17.650 --> 00:45:19.410 align:middle line:90%
terrible thermal conductor.

00:45:19.410 --> 00:45:20.930 align:middle line:84%
And putting something
that generates

00:45:20.930 --> 00:45:25.050 align:middle line:84%
heat embedded in a poor thermal
conductor is never a good idea.

00:45:25.050 --> 00:45:28.172 align:middle line:84%
You also have some
applications where you actually

00:45:28.172 --> 00:45:30.630 align:middle line:84%
want your device to interact
with surrounding environments.

00:45:30.630 --> 00:45:32.172 align:middle line:84%
For example, for
sensing applications

00:45:32.172 --> 00:45:33.730 align:middle line:84%
like for biomedical
applications,

00:45:33.730 --> 00:45:35.890 align:middle line:84%
you want to have the device
actually exposed on the surface

00:45:35.890 --> 00:45:38.010 align:middle line:84%
or near the surface rather
than embedded very deep

00:45:38.010 --> 00:45:40.010 align:middle line:90%
in the substrate.

00:45:40.010 --> 00:45:43.690 align:middle line:84%
So that's why an alternative
design that was proposed here

00:45:43.690 --> 00:45:46.210 align:middle line:84%
is to essentially create this
kind of laminate structure.

00:45:46.210 --> 00:45:49.570 align:middle line:84%
You have two stiff
layers on top and bottom.

00:45:49.570 --> 00:45:53.110 align:middle line:84%
In between, you put a very
low Young's modulus material,

00:45:53.110 --> 00:45:55.850 align:middle line:90%
sort of like rubber.

00:45:55.850 --> 00:45:58.352 align:middle line:84%
Now when you bend it,
what this new theory

00:45:58.352 --> 00:45:59.810 align:middle line:84%
tells you is that
instead of having

00:45:59.810 --> 00:46:02.490 align:middle line:84%
just one single neutral
axis, you actually

00:46:02.490 --> 00:46:04.930 align:middle line:84%
have multiple planes of
this kind of neutral axis

00:46:04.930 --> 00:46:07.730 align:middle line:84%
here where the stress
actually goes to 0.

00:46:07.730 --> 00:46:11.490 align:middle line:84%
What's also more important is
that by tuning the thickness

00:46:11.490 --> 00:46:14.050 align:middle line:84%
and moduli of the
different layers,

00:46:14.050 --> 00:46:17.330 align:middle line:84%
you can tune the position
of these neutral planes,

00:46:17.330 --> 00:46:21.130 align:middle line:84%
essentially versatilely
across the entire stack.

00:46:21.130 --> 00:46:24.370 align:middle line:84%
So this allows you to put
devices that's actually

00:46:24.370 --> 00:46:27.330 align:middle line:84%
much closer to the
surface compared

00:46:27.330 --> 00:46:29.980 align:middle line:84%
to the classical
neutral-plane design I'm

00:46:29.980 --> 00:46:31.230 align:middle line:90%
showing on the left-hand side.

00:46:31.230 --> 00:46:36.770 align:middle line:90%


00:46:36.770 --> 00:46:41.410 align:middle line:84%
So in this slide, I'm
going to show you one demo.

00:46:41.410 --> 00:46:43.410 align:middle line:84%
In this case, this is
actually from my group.

00:46:43.410 --> 00:46:46.930 align:middle line:84%
We were able to actually bend
these flexible devices made out

00:46:46.930 --> 00:46:48.770 align:middle line:90%
of glass materials.

00:46:48.770 --> 00:46:51.810 align:middle line:84%
We can bend it down to an
extremely small bending radius

00:46:51.810 --> 00:46:55.530 align:middle line:84%
of 0.3 millimeters, and
we can also essentially

00:46:55.530 --> 00:46:57.810 align:middle line:84%
bend them for hundreds
and thousands of cycles

00:46:57.810 --> 00:47:00.530 align:middle line:84%
without seeing any damage,
essentially leveraging this kind

00:47:00.530 --> 00:47:03.130 align:middle line:90%
of a multi-neutral axis design.

00:47:03.130 --> 00:47:06.070 align:middle line:90%


00:47:06.070 --> 00:47:11.370 align:middle line:84%
So this is for essentially
to bend the glass.

00:47:11.370 --> 00:47:13.330 align:middle line:84%
For some other applications,
you not only want

00:47:13.330 --> 00:47:15.050 align:middle line:84%
your material to be
bendable, you also

00:47:15.050 --> 00:47:17.050 align:middle line:90%
want it to be stretchable.

00:47:17.050 --> 00:47:19.950 align:middle line:84%
So for example, for a lot
of biomedical applications,

00:47:19.950 --> 00:47:21.990 align:middle line:84%
people are trying to do
epidermal integration,

00:47:21.990 --> 00:47:25.010 align:middle line:84%
essentially putting the device
directly on top of human skin.

00:47:25.010 --> 00:47:26.570 align:middle line:84%
Human skin is
actually a material

00:47:26.570 --> 00:47:29.870 align:middle line:84%
that can easily withstand a
large plastic deformation.

00:47:29.870 --> 00:47:32.930 align:middle line:84%
So to match that, it means
that your device should now

00:47:32.930 --> 00:47:33.910 align:middle line:90%
be able to bend.

00:47:33.910 --> 00:47:36.650 align:middle line:84%
It should be able to
stretch and compress.

00:47:36.650 --> 00:47:40.810 align:middle line:84%
So how do you create a
stretchable device out

00:47:40.810 --> 00:47:45.010 align:middle line:90%
of a stiff material?

00:47:45.010 --> 00:47:49.980 align:middle line:84%
What you would do is now instead
of doing multilayer lamination,

00:47:49.980 --> 00:47:53.575 align:middle line:84%
you now change the in-plane
configuration of the device.

00:47:53.575 --> 00:47:55.200 align:middle line:84%
And the inspiration
comes from the fact

00:47:55.200 --> 00:48:00.080 align:middle line:84%
that, for example, if you
think about a helix springs.

00:48:00.080 --> 00:48:02.860 align:middle line:84%
Stainless steel is pretty
stiff material in a bulk form,

00:48:02.860 --> 00:48:04.700 align:middle line:84%
but if you shape it
into this helical shape,

00:48:04.700 --> 00:48:06.560 align:middle line:84%
you can actually stretch
it and compress it

00:48:06.560 --> 00:48:08.280 align:middle line:90%
with a very large strain.

00:48:08.280 --> 00:48:10.760 align:middle line:84%
So what we did is you
can now essentially

00:48:10.760 --> 00:48:15.560 align:middle line:84%
create basically this kind
of in-plane photonic springs.

00:48:15.560 --> 00:48:17.400 align:middle line:84%
You essentially
generate this kind

00:48:17.400 --> 00:48:21.280 align:middle line:84%
of meandering shape of
glass materials here.

00:48:21.280 --> 00:48:23.760 align:middle line:84%
And when you actually stretch
it, what we have shown

00:48:23.760 --> 00:48:26.240 align:middle line:84%
is that it will deform
essentially both in-plane

00:48:26.240 --> 00:48:27.640 align:middle line:90%
and out of plane.

00:48:27.640 --> 00:48:30.840 align:middle line:84%
And in doing so, the
level of actual stress

00:48:30.840 --> 00:48:35.720 align:middle line:84%
exerted on the glass material
can be very, very small.

00:48:35.720 --> 00:48:40.440 align:middle line:84%
On top of that, what we also
do is that for some devices,

00:48:40.440 --> 00:48:42.880 align:middle line:84%
you may have some critical
devices where you absolutely

00:48:42.880 --> 00:48:45.720 align:middle line:84%
don't want any kind of
mechanical deformation.

00:48:45.720 --> 00:48:47.320 align:middle line:84%
So what we can do
is we can actually

00:48:47.320 --> 00:48:50.000 align:middle line:84%
embed these critical
devices that you don't want

00:48:50.000 --> 00:48:52.620 align:middle line:90%
to deform in a stiff material.

00:48:52.620 --> 00:48:55.240 align:middle line:84%
So eventually the
configuration will

00:48:55.240 --> 00:48:57.840 align:middle line:84%
be like you have these kind
of stiff islands locally.

00:48:57.840 --> 00:49:00.000 align:middle line:84%
They are interconnected
together by these kind

00:49:00.000 --> 00:49:01.942 align:middle line:90%
of meandering structures.

00:49:01.942 --> 00:49:04.400 align:middle line:84%
So when you actually stretch
it, essentially the meandering

00:49:04.400 --> 00:49:06.440 align:middle line:84%
structure absorbs
all the deformation

00:49:06.440 --> 00:49:10.000 align:middle line:84%
while keeping the stiff
islands completely intact, free

00:49:10.000 --> 00:49:11.040 align:middle line:90%
of stress.

00:49:11.040 --> 00:49:14.140 align:middle line:84%
So that's the strategy
we have demonstrated.

00:49:14.140 --> 00:49:16.400 align:middle line:84%
You can actually essentially
create the structures out

00:49:16.400 --> 00:49:18.580 align:middle line:84%
of essentially brittle
glass material,

00:49:18.580 --> 00:49:21.420 align:middle line:84%
but you can essentially create
very long, large elongation,

00:49:21.420 --> 00:49:24.520 align:middle line:84%
and you can also stretch
them for thousands of cycles

00:49:24.520 --> 00:49:25.940 align:middle line:84%
without seeing any
kind of damage.

00:49:25.940 --> 00:49:29.435 align:middle line:90%


00:49:29.435 --> 00:49:31.810 align:middle line:84%
So we've talked about two
different kinds of strategies

00:49:31.810 --> 00:49:34.520 align:middle line:84%
of how to change the
configuration of glass materials

00:49:34.520 --> 00:49:36.760 align:middle line:84%
to accommodate normal
mechanical attributes.

00:49:36.760 --> 00:49:40.080 align:middle line:84%
You can either do a outer
plane structural engineering

00:49:40.080 --> 00:49:41.280 align:middle line:90%
by lamination.

00:49:41.280 --> 00:49:43.320 align:middle line:84%
You can also change
the in-plane structure,

00:49:43.320 --> 00:49:48.280 align:middle line:84%
like in the case of
stretchable devices.

00:49:48.280 --> 00:49:50.320 align:middle line:90%
You can combine the two.

00:49:50.320 --> 00:49:54.640 align:middle line:84%
You can combine both lamination
and also in-plane structuring.

00:49:54.640 --> 00:49:57.360 align:middle line:84%
So this is shown in
this example here.

00:49:57.360 --> 00:50:00.160 align:middle line:84%
So in this paper, the
authors essentially

00:50:00.160 --> 00:50:03.960 align:middle line:84%
develop a toughened
glass material inspired

00:50:03.960 --> 00:50:07.040 align:middle line:90%
by this natural material nacre.

00:50:07.040 --> 00:50:13.000 align:middle line:84%
So nacre is the material that
is found inside the inner layer

00:50:13.000 --> 00:50:15.300 align:middle line:90%
of the shells, seashells.

00:50:15.300 --> 00:50:18.680 align:middle line:84%
It's essentially the
lustrous material

00:50:18.680 --> 00:50:20.880 align:middle line:84%
that people also call
it the mother of pearl.

00:50:20.880 --> 00:50:27.840 align:middle line:84%
So nacre, actually the main
ingredient is calcium carbonate,

00:50:27.840 --> 00:50:30.160 align:middle line:90%
limestone.

00:50:30.160 --> 00:50:33.660 align:middle line:84%
But nacre, it turns out
it's actually quite flexible

00:50:33.660 --> 00:50:35.000 align:middle line:90%
and it's also very tough.

00:50:35.000 --> 00:50:38.240 align:middle line:84%
So how do you make limestone
essentially flexible and tough?

00:50:38.240 --> 00:50:42.240 align:middle line:84%
So the trick here, if you look
at the microstructure of nacre,

00:50:42.240 --> 00:50:44.400 align:middle line:90%
it consists of multiple layers.

00:50:44.400 --> 00:50:48.800 align:middle line:84%
And then within each layer, it's
also not a monolithic piece.

00:50:48.800 --> 00:50:53.360 align:middle line:84%
You have these kind of
little platelets, essentially

00:50:53.360 --> 00:50:54.840 align:middle line:90%
little plates.

00:50:54.840 --> 00:50:59.720 align:middle line:84%
In between, you infiltrated with
essentially a polymer material.

00:50:59.720 --> 00:51:03.320 align:middle line:84%
So when you actually try to
bend it or try to deform it,

00:51:03.320 --> 00:51:07.440 align:middle line:84%
these platelets can essentially
shift with respect to each other

00:51:07.440 --> 00:51:09.960 align:middle line:84%
to absorb this kind
of deformation there.

00:51:09.960 --> 00:51:14.920 align:middle line:84%
So that's actually one of
the configurational designs

00:51:14.920 --> 00:51:16.460 align:middle line:90%
that the authors explored.

00:51:16.460 --> 00:51:18.600 align:middle line:84%
So what they did is they
started out essentially

00:51:18.600 --> 00:51:21.800 align:middle line:84%
from just a typical
flat sheet glass.

00:51:21.800 --> 00:51:24.880 align:middle line:84%
They use laser writing
to engrave these changes

00:51:24.880 --> 00:51:28.753 align:middle line:84%
in these glass materials
here without completely

00:51:28.753 --> 00:51:29.920 align:middle line:90%
etching all the way through.

00:51:29.920 --> 00:51:32.000 align:middle line:84%
So they are still
connected as one piece.

00:51:32.000 --> 00:51:34.800 align:middle line:84%
They then go through the
typical lamination process

00:51:34.800 --> 00:51:36.640 align:middle line:90%
to form a multilayer structure.

00:51:36.640 --> 00:51:39.200 align:middle line:84%
And in the end, when you
actually start to bend it,

00:51:39.200 --> 00:51:41.800 align:middle line:84%
because the glass pieces, they
are only connected together

00:51:41.800 --> 00:51:45.610 align:middle line:84%
through this the deep trenches,
so when you actually bend it,

00:51:45.610 --> 00:51:48.230 align:middle line:84%
they essentially break and
separate into individual pieces.

00:51:48.230 --> 00:51:49.910 align:middle line:84%
So that's how they
create this kind

00:51:49.910 --> 00:51:52.630 align:middle line:90%
of nacre-like microstructures.

00:51:52.630 --> 00:51:55.270 align:middle line:84%
They choose this kind
of a glass material

00:51:55.270 --> 00:51:58.950 align:middle line:84%
and the polymer material to have
a very similar refractive index.

00:51:58.950 --> 00:52:00.560 align:middle line:84%
So when the light
goes through it,

00:52:00.560 --> 00:52:02.310 align:middle line:84%
it barely sees this
kind of microstructure

00:52:02.310 --> 00:52:03.550 align:middle line:84%
there with minimal
amount of scattering

00:52:03.550 --> 00:52:04.790 align:middle line:90%
because of index matching.

00:52:04.790 --> 00:52:07.373 align:middle line:84%
So that's why, if you look at
the optical transmission diagram

00:52:07.373 --> 00:52:10.810 align:middle line:84%
here, this kind of laminated
material, 3D material,

00:52:10.810 --> 00:52:13.390 align:middle line:84%
they still have optical
transmittance that's fairly

00:52:13.390 --> 00:52:17.310 align:middle line:84%
close or reasonably close
compared to untreated glass.

00:52:17.310 --> 00:52:22.230 align:middle line:84%
But they do exhibit
much enhanced properties

00:52:22.230 --> 00:52:24.070 align:middle line:84%
when it comes to
resisting damage

00:52:24.070 --> 00:52:25.990 align:middle line:90%
during mechanical deformation.

00:52:25.990 --> 00:52:31.230 align:middle line:84%
So at the bottom here,
you see that on top row,

00:52:31.230 --> 00:52:34.350 align:middle line:84%
this is when you
try to apply stress

00:52:34.350 --> 00:52:36.830 align:middle line:84%
on one point on different
kind of materials.

00:52:36.830 --> 00:52:40.750 align:middle line:84%
You have a plain laminated
glass, borosilicate and PMMA.

00:52:40.750 --> 00:52:43.050 align:middle line:84%
At the bottom,
you have this one.

00:52:43.050 --> 00:52:45.270 align:middle line:84%
This is actually an
nacre-like material.

00:52:45.270 --> 00:52:47.910 align:middle line:84%
You clearly see that all the
other cases, you generate

00:52:47.910 --> 00:52:49.650 align:middle line:90%
lots of defects and cracks.

00:52:49.650 --> 00:52:52.430 align:middle line:84%
In this case, the
material remains intact.

00:52:52.430 --> 00:52:55.430 align:middle line:84%
In terms of the mechanism,
this can actually

00:52:55.430 --> 00:52:57.910 align:middle line:84%
help absorb this kind
of deformation here.

00:52:57.910 --> 00:52:59.330 align:middle line:90%
I have this little video.

00:52:59.330 --> 00:53:01.990 align:middle line:84%
And also I show the simulation
result on the left-hand side.

00:53:01.990 --> 00:53:04.070 align:middle line:90%
The bottom line is what I said.

00:53:04.070 --> 00:53:06.390 align:middle line:84%
When you actually
try to bend it,

00:53:06.390 --> 00:53:09.700 align:middle line:84%
the platelets inside
each laminate layers,

00:53:09.700 --> 00:53:11.950 align:middle line:84%
they can essentially shift
their position with respect

00:53:11.950 --> 00:53:12.850 align:middle line:90%
to each other.

00:53:12.850 --> 00:53:15.410 align:middle line:84%
And this helps to prevent
the formation of cracks.

00:53:15.410 --> 00:53:17.345 align:middle line:84%
You can clearly see
from here this laminate

00:53:17.345 --> 00:53:18.970 align:middle line:84%
has to move with
respect to each other.

00:53:18.970 --> 00:53:21.110 align:middle line:84%
This one is just a
plain laminated sheet

00:53:21.110 --> 00:53:22.810 align:middle line:84%
without this
in-plane structuring.

00:53:22.810 --> 00:53:25.942 align:middle line:90%


00:53:25.942 --> 00:53:27.510 align:middle line:84%
So this is one
example to show you

00:53:27.510 --> 00:53:30.910 align:middle line:84%
that by combining this actually
out-of-plane and in-plane

00:53:30.910 --> 00:53:35.310 align:middle line:84%
structuring, you can get to
glass components that offer

00:53:35.310 --> 00:53:37.190 align:middle line:90%
unique mechanical attributes.

00:53:37.190 --> 00:53:40.710 align:middle line:90%


00:53:40.710 --> 00:53:41.510 align:middle line:90%
All right.

00:53:41.510 --> 00:53:43.470 align:middle line:84%
I'm going to wrap up
here for this section

00:53:43.470 --> 00:53:49.292 align:middle line:90%
here on glass strengthening.

00:53:49.292 --> 00:53:51.750 align:middle line:84%
The key takeaway message here
is that we spend lots of time

00:53:51.750 --> 00:53:53.710 align:middle line:84%
essentially talking about these
different kind of strengthening

00:53:53.710 --> 00:53:54.510 align:middle line:90%
techniques.

00:53:54.510 --> 00:53:56.030 align:middle line:84%
So you want to be
able to understand

00:53:56.030 --> 00:53:58.710 align:middle line:84%
the differences between
these strengthening methods.

00:53:58.710 --> 00:54:02.310 align:middle line:84%
You have essentially
a thermal tempering.

00:54:02.310 --> 00:54:05.870 align:middle line:84%
For thermal tempering, there
are two subcategories there.

00:54:05.870 --> 00:54:08.550 align:middle line:84%
You can have heat-strengthened
glass versus tempered glass.

00:54:08.550 --> 00:54:10.870 align:middle line:84%
They really differ only by
the amount of surface stress

00:54:10.870 --> 00:54:11.570 align:middle line:90%
you accumulate.

00:54:11.570 --> 00:54:14.710 align:middle line:84%
But for tempered glass,
large surface stress

00:54:14.710 --> 00:54:17.550 align:middle line:84%
also means that
there's very large

00:54:17.550 --> 00:54:20.310 align:middle line:84%
tensile stress region inside
the glass material, which

00:54:20.310 --> 00:54:23.070 align:middle line:84%
may cause spontaneous
breaking, while the risk

00:54:23.070 --> 00:54:24.830 align:middle line:84%
of spontaneous
breaking is actually

00:54:24.830 --> 00:54:28.270 align:middle line:84%
nonexistent for the case
of heat-strengthened glass.

00:54:28.270 --> 00:54:30.330 align:middle line:84%
For chemically strengthened
glass material,

00:54:30.330 --> 00:54:34.150 align:middle line:84%
they don't break spontaneously
because of the smaller surface

00:54:34.150 --> 00:54:37.350 align:middle line:84%
thickness of the
chemical stress there.

00:54:37.350 --> 00:54:40.710 align:middle line:84%
And one important difference
I also want to highlight here

00:54:40.710 --> 00:54:43.230 align:middle line:84%
is the temperature for
the heat treatment.

00:54:43.230 --> 00:54:45.510 align:middle line:84%
All of them involve
treating the glass material

00:54:45.510 --> 00:54:46.590 align:middle line:90%
at high temperature.

00:54:46.590 --> 00:54:49.630 align:middle line:84%
But for heat
strengthening, you need

00:54:49.630 --> 00:54:52.710 align:middle line:84%
to heat it up to above the
glass transition temperature.

00:54:52.710 --> 00:54:56.070 align:middle line:84%
So a high temperature
is actually stress free.

00:54:56.070 --> 00:54:58.430 align:middle line:84%
You only accumulate this
stress when you actually

00:54:58.430 --> 00:55:01.070 align:middle line:84%
cool down such as the surface
starts to approach the room

00:55:01.070 --> 00:55:01.870 align:middle line:90%
temperature.

00:55:01.870 --> 00:55:04.110 align:middle line:84%
That's when the temperature
gradient is converted

00:55:04.110 --> 00:55:06.310 align:middle line:90%
into the thermal stress.

00:55:06.310 --> 00:55:09.230 align:middle line:84%
Versus chemical
strengthening-- the process

00:55:09.230 --> 00:55:13.030 align:middle line:84%
has to take place below the
glass transition temperature,

00:55:13.030 --> 00:55:15.990 align:middle line:84%
because you don't want any of
the stress coming from the ion

00:55:15.990 --> 00:55:19.230 align:middle line:84%
exchange process to get
relaxed in this process.

00:55:19.230 --> 00:55:21.090 align:middle line:90%
So that's a key difference here.

00:55:21.090 --> 00:55:22.482 align:middle line:84%
The heat treatment
temperature is

00:55:22.482 --> 00:55:24.190 align:middle line:84%
different from these
different processes.

00:55:24.190 --> 00:55:28.390 align:middle line:90%


00:55:28.390 --> 00:55:32.350 align:middle line:84%
Any more questions
about strengthening?

00:55:32.350 --> 00:55:33.350 align:middle line:90%
OK.

00:55:33.350 --> 00:55:34.990 align:middle line:90%
So we still have a bit of time.

00:55:34.990 --> 00:55:36.910 align:middle line:84%
I think I actually
have some time

00:55:36.910 --> 00:55:40.230 align:middle line:90%
to quickly go over the P-set.

00:55:40.230 --> 00:55:44.370 align:middle line:84%
OK, so first question is
really straightforward.

00:55:44.370 --> 00:55:47.157 align:middle line:84%
You all get it right
one way or the other.

00:55:47.157 --> 00:55:48.990 align:middle line:84%
I just want to mention
that you can actually

00:55:48.990 --> 00:55:51.670 align:middle line:90%
be a bit more quantitative.

00:55:51.670 --> 00:55:54.910 align:middle line:84%
So co-working is not
a way to actually make

00:55:54.910 --> 00:55:58.050 align:middle line:84%
amorphous material pieces
because of the strain softening.

00:55:58.050 --> 00:56:00.350 align:middle line:84%
You can either do casting
or you can do essentially

00:56:00.350 --> 00:56:01.610 align:middle line:90%
a thermoplastic forming.

00:56:01.610 --> 00:56:03.910 align:middle line:84%
So for casting, you
can actually try

00:56:03.910 --> 00:56:06.910 align:middle line:84%
to calculate what is the
critical thickness you

00:56:06.910 --> 00:56:09.990 align:middle line:84%
can cast without
inducing crystallization.

00:56:09.990 --> 00:56:13.310 align:middle line:84%
This data, this is what
I found from online.

00:56:13.310 --> 00:56:15.470 align:middle line:84%
You can also find the
kinetics of crystallization

00:56:15.470 --> 00:56:17.950 align:middle line:84%
by looking at the TT
diagram for vitreloy.

00:56:17.950 --> 00:56:22.190 align:middle line:84%
It turns out vitreloy is one
of probably most widely used

00:56:22.190 --> 00:56:25.550 align:middle line:84%
metallic glass
compositions, so its data

00:56:25.550 --> 00:56:26.810 align:middle line:90%
is pretty much everywhere.

00:56:26.810 --> 00:56:30.350 align:middle line:84%
In fact, in my class when
I show this TT diagram,

00:56:30.350 --> 00:56:32.750 align:middle line:90%
the example I use is vitreloy.

00:56:32.750 --> 00:56:34.590 align:middle line:84%
So you can actually get
the critical cooling

00:56:34.590 --> 00:56:36.980 align:middle line:84%
curve, critical cooling
rate from this plot here.

00:56:36.980 --> 00:56:38.020 align:middle line:90%
Plug it back.

00:56:38.020 --> 00:56:42.820 align:middle line:84%
What you find out is that you
can cast a vitreloy medallion up

00:56:42.820 --> 00:56:45.660 align:middle line:84%
to 2.2 centimeters
thickness without inducing

00:56:45.660 --> 00:56:46.360 align:middle line:90%
crystallization.

00:56:46.360 --> 00:56:48.080 align:middle line:84%
That's why it's called
bulk metallic glasses.

00:56:48.080 --> 00:56:49.538 align:middle line:84%
They really have
quite good ability

00:56:49.538 --> 00:56:51.120 align:middle line:90%
to resist crystallization.

00:56:51.120 --> 00:56:53.740 align:middle line:84%
So you can treat them
using conventional process.

00:56:53.740 --> 00:56:56.820 align:middle line:84%
Now another route, you can
do thermoplastic forming,

00:56:56.820 --> 00:56:58.398 align:middle line:84%
for example,
compressive molding.

00:56:58.398 --> 00:57:00.940 align:middle line:84%
Compression molding should work
pretty well because medallion

00:57:00.940 --> 00:57:02.120 align:middle line:90%
is a pretty open structure.

00:57:02.120 --> 00:57:04.800 align:middle line:84%
You can have two pieces, just
press it and then it will mold.

00:57:04.800 --> 00:57:08.020 align:middle line:84%
Again, you can do some
quantitative calculation here.

00:57:08.020 --> 00:57:11.840 align:middle line:84%
To predict the compressive
molding process compatibility,

00:57:11.840 --> 00:57:15.100 align:middle line:84%
you need to know how long
the glass can stay at a state

00:57:15.100 --> 00:57:18.420 align:middle line:84%
without crystallization
during the process,

00:57:18.420 --> 00:57:19.720 align:middle line:90%
at the right viscosity value.

00:57:19.720 --> 00:57:21.980 align:middle line:84%
So you start out by
essentially looking

00:57:21.980 --> 00:57:24.100 align:middle line:84%
at the viscosity value
for compression molding

00:57:24.100 --> 00:57:25.140 align:middle line:90%
from the slides.

00:57:25.140 --> 00:57:31.120 align:middle line:84%
Then you go to the Angel plot,
which I also have in the slides.

00:57:31.120 --> 00:57:35.580 align:middle line:84%
This one is vitreloy, so
basically this slide here.

00:57:35.580 --> 00:57:37.340 align:middle line:84%
So from that, you
can then read out

00:57:37.340 --> 00:57:39.660 align:middle line:84%
for this particular
viscosity value what's

00:57:39.660 --> 00:57:41.420 align:middle line:90%
the corresponding temperature.

00:57:41.420 --> 00:57:45.240 align:middle line:84%
Then with that temperature,
you then go back to TT diagram.

00:57:45.240 --> 00:57:46.980 align:middle line:84%
You can then read
out what's the time

00:57:46.980 --> 00:57:48.620 align:middle line:90%
it takes for it to crystallize.

00:57:48.620 --> 00:57:50.378 align:middle line:84%
Then that gives
you the time window

00:57:50.378 --> 00:57:52.420 align:middle line:84%
you can actually perform
your compressed modeling

00:57:52.420 --> 00:57:54.240 align:middle line:84%
without a risk of
crystallization.

00:57:54.240 --> 00:57:56.722 align:middle line:90%
So that's the calculation I did.

00:57:56.722 --> 00:57:58.180 align:middle line:84%
We figured that we
can actually get

00:57:58.180 --> 00:58:00.277 align:middle line:84%
to a process window about
more than three minutes,

00:58:00.277 --> 00:58:02.860 align:middle line:84%
which should be more than enough
for simple compressed molding

00:58:02.860 --> 00:58:03.480 align:middle line:90%
process.

00:58:03.480 --> 00:58:06.220 align:middle line:84%
So that's why we conclude
this compressed molding

00:58:06.220 --> 00:58:09.580 align:middle line:84%
process is compatible with
structuring with vitreloy.

00:58:09.580 --> 00:58:13.740 align:middle line:84%
You can also do
injection molding.

00:58:13.740 --> 00:58:16.720 align:middle line:84%
Injection molding
requires lower viscosity,

00:58:16.720 --> 00:58:19.460 align:middle line:84%
which then means that you have
to go to higher temperature.

00:58:19.460 --> 00:58:23.620 align:middle line:84%
In fact, as a result, you
have a narrow time window.

00:58:23.620 --> 00:58:26.020 align:middle line:84%
In this particular case,
this is probably also not

00:58:26.020 --> 00:58:28.340 align:middle line:84%
quite preferred because
the processing temperature

00:58:28.340 --> 00:58:30.442 align:middle line:84%
is actually above the
nose temperature, which

00:58:30.442 --> 00:58:32.400 align:middle line:84%
means that when you are
trying to cool it down,

00:58:32.400 --> 00:58:35.025 align:middle line:84%
you have to go through this nose
temperature, which potentially

00:58:35.025 --> 00:58:37.200 align:middle line:84%
has a much higher risk
of crystallization.

00:58:37.200 --> 00:58:40.020 align:middle line:84%
So it's not quite preferred
but potentially also viable.

00:58:40.020 --> 00:58:43.080 align:middle line:90%
So that's the first one.

00:58:43.080 --> 00:58:46.500 align:middle line:84%
Second one, basically
we write our code.

00:58:46.500 --> 00:58:50.960 align:middle line:84%
One thing I noticed is
that for some of you,

00:58:50.960 --> 00:58:54.140 align:middle line:84%
your answer shows a little
bump in the cooling curve.

00:58:54.140 --> 00:58:57.960 align:middle line:84%
That should not happen because
when the glass relaxes,

00:58:57.960 --> 00:59:00.180 align:middle line:84%
it should always relax
towards the quotation mark,

00:59:00.180 --> 00:59:02.625 align:middle line:84%
"equilibrium state," which is
a supercooled liquid state.

00:59:02.625 --> 00:59:04.000 align:middle line:84%
For this particular
example here,

00:59:04.000 --> 00:59:05.540 align:middle line:84%
the supercooled liquid
state has a volume smaller

00:59:05.540 --> 00:59:07.900 align:middle line:84%
than the glassy state, so
the volume should always

00:59:07.900 --> 00:59:10.320 align:middle line:90%
decrease when it relaxes.

00:59:10.320 --> 00:59:11.680 align:middle line:90%
So it should not go back up.

00:59:11.680 --> 00:59:12.957 align:middle line:90%
Volume always goes down.

00:59:12.957 --> 00:59:14.040 align:middle line:90%
So double check your code.

00:59:14.040 --> 00:59:16.562 align:middle line:84%
Maybe probably it's just
a sign error or something.

00:59:16.562 --> 00:59:19.020 align:middle line:84%
I want to spend a little bit
of time talking about this guy

00:59:19.020 --> 00:59:23.920 align:middle line:84%
here, about the heat released
in the heat treatment process.

00:59:23.920 --> 00:59:27.960 align:middle line:90%


00:59:27.960 --> 00:59:31.940 align:middle line:84%
So heat released, this
is directly related

00:59:31.940 --> 00:59:36.100 align:middle line:90%
to enthalpy change.

00:59:36.100 --> 00:59:39.900 align:middle line:84%
This is the amount of heat
that's actually released.

00:59:39.900 --> 00:59:49.980 align:middle line:84%
So this can be written
as, the heat released,

00:59:49.980 --> 00:59:51.700 align:middle line:90%
it should be this one.

00:59:51.700 --> 00:59:56.380 align:middle line:84%
The heat flux, I should say, it
should be the enthalpy change

00:59:56.380 --> 00:59:57.780 align:middle line:90%
over time.

00:59:57.780 --> 01:00:03.580 align:middle line:84%
So then this can be written, you
can write it in this form here.

01:00:03.580 --> 01:00:10.380 align:middle line:84%
Convert it into two
derivatives here.

01:00:10.380 --> 01:00:14.320 align:middle line:84%
The first one, dH/dT, this is
actually quite straightforward.

01:00:14.320 --> 01:00:18.580 align:middle line:84%
This basically is the slope of
the enthalpy temperature curve.

01:00:18.580 --> 01:00:23.340 align:middle line:84%
The second one is just
your heating rate.

01:00:23.340 --> 01:00:25.980 align:middle line:84%
It's a bit easier to
try to plot the heat

01:00:25.980 --> 01:00:27.632 align:middle line:84%
flux as a function
of time, rather than

01:00:27.632 --> 01:00:28.840 align:middle line:90%
as a function of temperature.

01:00:28.840 --> 01:00:30.610 align:middle line:84%
It gets pretty confusing as
a function of temperature

01:00:30.610 --> 01:00:32.568 align:middle line:84%
because we are heating,
cooling, and reheating.

01:00:32.568 --> 01:00:34.230 align:middle line:84%
So the curve
becomes a bit messy.

01:00:34.230 --> 01:00:36.370 align:middle line:84%
I should be a bit more
clear, I apologize.

01:00:36.370 --> 01:00:38.450 align:middle line:84%
We should try to plot it
as a function of time,

01:00:38.450 --> 01:00:40.158 align:middle line:84%
rather than as a
function of temperature.

01:00:40.158 --> 01:00:44.537 align:middle line:84%
So I should have made
it a bit less confusing.

01:00:44.537 --> 01:00:46.870 align:middle line:84%
But anyway, if you try to
plot it as a function of time,

01:00:46.870 --> 01:00:49.290 align:middle line:84%
you need to look at the sign
of these two factors here.

01:00:49.290 --> 01:00:51.490 align:middle line:84%
So for this one,
first term, we have

01:00:51.490 --> 01:00:54.610 align:middle line:84%
mentioned that the shape
of the curve for enthalpy

01:00:54.610 --> 01:00:56.730 align:middle line:84%
is quite similar
to that of volume.

01:00:56.730 --> 01:00:59.170 align:middle line:84%
So we can basically
go back to this plot

01:00:59.170 --> 01:01:01.130 align:middle line:84%
here that shows how
the volume changes

01:01:01.130 --> 01:01:03.170 align:middle line:84%
as a function of
temperature and essentially

01:01:03.170 --> 01:01:06.690 align:middle line:84%
plot it, in this case,
also for enthalpy.

01:01:06.690 --> 01:01:11.390 align:middle line:84%
The caveat is that when I'm
plotting this plot here,

01:01:11.390 --> 01:01:16.090 align:middle line:84%
you notice that this last
line is completely flat.

01:01:16.090 --> 01:01:17.990 align:middle line:84%
Now, it's not supposed
to be completely flat.

01:01:17.990 --> 01:01:19.407 align:middle line:84%
The reason it's
flat is because we

01:01:19.407 --> 01:01:22.250 align:middle line:84%
neglect any kind of thermal
expansion of the glassy state.

01:01:22.250 --> 01:01:25.550 align:middle line:90%
Now, same thing for enthalpy.

01:01:25.550 --> 01:01:27.170 align:middle line:84%
The slope of the
line corresponds

01:01:27.170 --> 01:01:31.230 align:middle line:84%
to the heat capacity of the
glassy state, which is not zero.

01:01:31.230 --> 01:01:34.210 align:middle line:84%
So we should essentially
artificially add that slope

01:01:34.210 --> 01:01:34.730 align:middle line:90%
back.

01:01:34.730 --> 01:01:37.030 align:middle line:84%
So what we have will
be something like this.

01:01:37.030 --> 01:01:38.570 align:middle line:90%
You have this curve here.

01:01:38.570 --> 01:01:41.410 align:middle line:90%
It goes back to the glass line.

01:01:41.410 --> 01:01:43.110 align:middle line:84%
And then when you
heat it back up,

01:01:43.110 --> 01:01:47.310 align:middle line:84%
it will retrace this line
here, goes back down,

01:01:47.310 --> 01:01:50.730 align:middle line:84%
come here, and goes
back, like that.

01:01:50.730 --> 01:01:53.770 align:middle line:84%
This is what it should
be looking like.

01:01:53.770 --> 01:01:57.290 align:middle line:84%
So now we can divide it
into a few different regimes

01:01:57.290 --> 01:01:59.470 align:middle line:84%
and try to plot this
diagram separately.

01:01:59.470 --> 01:02:05.510 align:middle line:84%
So first regime is when
we are cooling down.

01:02:05.510 --> 01:02:07.690 align:middle line:90%
This is our regime 1.

01:02:07.690 --> 01:02:10.730 align:middle line:84%
Second is when you
start to reheat it up.

01:02:10.730 --> 01:02:12.970 align:middle line:84%
Now during reheating
process, you

01:02:12.970 --> 01:02:15.730 align:middle line:84%
notice that there's
actually a maximum point.

01:02:15.730 --> 01:02:19.690 align:middle line:84%
So around this maximum
point, the sign

01:02:19.690 --> 01:02:23.990 align:middle line:84%
of the slope of the curve
actually changes sign.

01:02:23.990 --> 01:02:25.910 align:middle line:84%
So that's why we should
have two regimes here.

01:02:25.910 --> 01:02:28.202 align:middle line:84%
The first one is when you
actually more or less retrace

01:02:28.202 --> 01:02:28.970 align:middle line:90%
this curve.

01:02:28.970 --> 01:02:30.970 align:middle line:84%
And then the third
regime is when

01:02:30.970 --> 01:02:32.690 align:middle line:84%
you see significant
structural relaxation

01:02:32.690 --> 01:02:35.410 align:middle line:84%
during the last
transitional regime.

01:02:35.410 --> 01:02:37.590 align:middle line:84%
And then the fourth
regime, of course,

01:02:37.590 --> 01:02:41.130 align:middle line:84%
is when you actually are
cooling it back down.

01:02:41.130 --> 01:02:42.810 align:middle line:84%
So now let's take
a look at the sign

01:02:42.810 --> 01:02:46.950 align:middle line:84%
of each of the terms during
these four processes here.

01:02:46.950 --> 01:02:50.306 align:middle line:90%


01:02:50.306 --> 01:02:56.690 align:middle line:84%
So first process, cooling, the
slope of the curve is positive.

01:02:56.690 --> 01:03:03.530 align:middle line:90%
This is regime 1.

01:03:03.530 --> 01:03:05.750 align:middle line:84%
So the slope of a
curve is positive.

01:03:05.750 --> 01:03:08.250 align:middle line:84%
dT/dt, this is a
cooling process, so

01:03:08.250 --> 01:03:11.650 align:middle line:84%
temperature decreases with time,
so this should be negative.

01:03:11.650 --> 01:03:18.930 align:middle line:84%
So overall, the dH/dt
for the heat flux, this

01:03:18.930 --> 01:03:20.950 align:middle line:90%
should be a negative.

01:03:20.950 --> 01:03:25.930 align:middle line:90%


01:03:25.930 --> 01:03:27.450 align:middle line:84%
Now it should be
negative because

01:03:27.450 --> 01:03:31.850 align:middle line:84%
during cooling the material
obviously releases heat

01:03:31.850 --> 01:03:32.890 align:middle line:90%
to the environment.

01:03:32.890 --> 01:03:34.440 align:middle line:84%
So negative sign
essentially just

01:03:34.440 --> 01:03:36.190 align:middle line:84%
means that the material
is releasing heat.

01:03:36.190 --> 01:03:38.890 align:middle line:90%


01:03:38.890 --> 01:03:44.650 align:middle line:84%
Second regime, so for
the second regime here,

01:03:44.650 --> 01:03:48.010 align:middle line:90%
dH/dt is still positive.

01:03:48.010 --> 01:03:54.770 align:middle line:90%


01:03:54.770 --> 01:04:02.010 align:middle line:84%
But dT/dt, this is the reheating
process, so it becomes positive.

01:04:02.010 --> 01:04:05.010 align:middle line:84%
So then what we have,
this is a positive 0.

01:04:05.010 --> 01:04:07.010 align:middle line:84%
It means that the material
is now absorbing heat

01:04:07.010 --> 01:04:10.010 align:middle line:90%
because you're reheating it up.

01:04:10.010 --> 01:04:15.250 align:middle line:84%
OK, regime 3, for regime
3 what's different

01:04:15.250 --> 01:04:21.390 align:middle line:84%
here is that this curve, dH/dt,
now has a negative slope.

01:04:21.390 --> 01:04:23.080 align:middle line:90%
This is the reheating process.

01:04:23.080 --> 01:04:28.340 align:middle line:84%
So while the temperature
is increasing,

01:04:28.340 --> 01:04:31.360 align:middle line:84%
you're actually releasing
heat because you essentially

01:04:31.360 --> 01:04:32.722 align:middle line:90%
the glass material is relaxing.

01:04:32.722 --> 01:04:35.180 align:middle line:84%
It's relaxing to this more
stable supercooled liquid state.

01:04:35.180 --> 01:04:37.480 align:middle line:84%
In the process, it's
releasing excess enthalpy

01:04:37.480 --> 01:04:38.760 align:middle line:90%
to the environment.

01:04:38.760 --> 01:04:41.880 align:middle line:90%
That's why it becomes negative.

01:04:41.880 --> 01:04:45.880 align:middle line:84%
Finally, the last process
here, process number 4,

01:04:45.880 --> 01:04:50.380 align:middle line:84%
again, you have a positive
slope for dH/dT. dT/dt,

01:04:50.380 --> 01:04:54.400 align:middle line:84%
this is cooling, so
it should be negative.

01:04:54.400 --> 01:04:58.680 align:middle line:90%
So it should also be negative.

01:04:58.680 --> 01:05:01.360 align:middle line:84%
Now let's try to stitch
things together and try

01:05:01.360 --> 01:05:05.520 align:middle line:90%
to plot this diagram here.

01:05:05.520 --> 01:05:09.040 align:middle line:90%
So this will be our dH/dt.

01:05:09.040 --> 01:05:12.177 align:middle line:84%
This will be our heat flux
basically as a function of time.

01:05:12.177 --> 01:05:13.260 align:middle line:90%
So let's see what happens.

01:05:13.260 --> 01:05:18.480 align:middle line:84%
So first part, this is
going to be a negative,

01:05:18.480 --> 01:05:21.960 align:middle line:84%
but initially, you
get a larger slope.

01:05:21.960 --> 01:05:27.680 align:middle line:84%
So for constant cooling
rate, initially you

01:05:27.680 --> 01:05:33.640 align:middle line:90%
get a larger negative heat flux.

01:05:33.640 --> 01:05:39.290 align:middle line:84%
And then you should smoothly
reduce to a lower level

01:05:39.290 --> 01:05:41.040 align:middle line:84%
because now you are
essentially converting

01:05:41.040 --> 01:05:43.860 align:middle line:84%
from supercooled
liquid to glass.

01:05:43.860 --> 01:05:45.620 align:middle line:84%
And glass has a
smaller heat capacity.

01:05:45.620 --> 01:05:49.500 align:middle line:90%


01:05:49.500 --> 01:05:51.720 align:middle line:90%
Now, go to regime 2.

01:05:51.720 --> 01:05:54.380 align:middle line:84%
I should probably make
it a bit narrower.

01:05:54.380 --> 01:05:56.100 align:middle line:84%
I don't have that
much space on board.

01:05:56.100 --> 01:05:59.580 align:middle line:90%


01:05:59.580 --> 01:06:05.760 align:middle line:90%
So this is regime 1, regime 1.

01:06:05.760 --> 01:06:13.880 align:middle line:84%
Now regime 2, in regime
2, we have a positive.

01:06:13.880 --> 01:06:18.400 align:middle line:84%
Initially, regime 2, the curve
actually more or less retraces

01:06:18.400 --> 01:06:19.660 align:middle line:90%
the curve in regime 1.

01:06:19.660 --> 01:06:23.040 align:middle line:84%
So it means that the heat flux
essentially just flips signs,

01:06:23.040 --> 01:06:26.640 align:middle line:90%
but the magnitude is the same.

01:06:26.640 --> 01:06:30.760 align:middle line:84%
And then eventually, because
the dH/dt starts to decrease

01:06:30.760 --> 01:06:33.360 align:middle line:84%
and eventually
flips sign, it means

01:06:33.360 --> 01:06:36.660 align:middle line:84%
that the heat flux
should also decrease

01:06:36.660 --> 01:06:39.800 align:middle line:90%
and eventually flips signs.

01:06:39.800 --> 01:06:41.500 align:middle line:90%
So this would be regime 2.

01:06:41.500 --> 01:06:48.166 align:middle line:90%


01:06:48.166 --> 01:06:52.200 align:middle line:84%
So that means regime
3, regime 3 and 2,

01:06:52.200 --> 01:06:53.500 align:middle line:90%
they should be continuous.

01:06:53.500 --> 01:06:56.960 align:middle line:90%
It's basically one same process.

01:06:56.960 --> 01:06:58.960 align:middle line:84%
So the curve should
also be continuous.

01:06:58.960 --> 01:07:01.920 align:middle line:90%
It should continue to extend.

01:07:01.920 --> 01:07:06.760 align:middle line:84%
And eventually it should reach
some kind of maximum slope here.

01:07:06.760 --> 01:07:09.800 align:middle line:84%
And then the slope would
then decrease again.

01:07:09.800 --> 01:07:13.920 align:middle line:84%
So it means that it should reach
a maximum and then goes back.

01:07:13.920 --> 01:07:20.920 align:middle line:90%


01:07:20.920 --> 01:07:22.580 align:middle line:90%
So this will be regime 3.

01:07:22.580 --> 01:07:34.160 align:middle line:90%


01:07:34.160 --> 01:07:46.080 align:middle line:84%
Finally, for regime 4, regime 4,
this would also be a negative,

01:07:46.080 --> 01:07:47.340 align:middle line:90%
started out negative.

01:07:47.340 --> 01:07:50.640 align:middle line:90%


01:07:50.640 --> 01:07:55.460 align:middle line:84%
And then the slope increases
and then decreases again.

01:07:55.460 --> 01:08:00.360 align:middle line:90%


01:08:00.360 --> 01:08:01.020 align:middle line:90%
Oh, sorry.

01:08:01.020 --> 01:08:03.440 align:middle line:84%
I should make it a
bit more dramatic.

01:08:03.440 --> 01:08:05.920 align:middle line:84%
In the end, the slope is
the same as the regime

01:08:05.920 --> 01:08:07.100 align:middle line:90%
2 and regime 1.

01:08:07.100 --> 01:08:10.080 align:middle line:84%
So it should come back
to the same level.

01:08:10.080 --> 01:08:12.320 align:middle line:84%
So it should go larger and
then eventually comes back

01:08:12.320 --> 01:08:14.640 align:middle line:90%
to the same level.

01:08:14.640 --> 01:08:17.430 align:middle line:84%
It should come back to the
same level as the final plateau

01:08:17.430 --> 01:08:18.290 align:middle line:90%
of regime 1.

01:08:18.290 --> 01:08:23.910 align:middle line:90%


01:08:23.910 --> 01:08:27.229 align:middle line:84%
So that's what the curve
is going to look like.

01:08:27.229 --> 01:08:31.590 align:middle line:84%
This is the more complex
problem in the whole P-set here.

01:08:31.590 --> 01:08:33.630 align:middle line:84%
AUDIENCE: I was only
a little bit wrong.

01:08:33.630 --> 01:08:35.672 align:middle line:84%
JUEJUN HU: I think you
more or less get it right.

01:08:35.672 --> 01:08:36.550 align:middle line:90%
You get the idea.

01:08:36.550 --> 01:08:39.187 align:middle line:84%
Part of your confusion,
I should really

01:08:39.187 --> 01:08:41.270 align:middle line:84%
say that you should plot
it as a function of time,

01:08:41.270 --> 01:08:42.280 align:middle line:84%
not as a function
of temperature.

01:08:42.280 --> 01:08:43.370 align:middle line:84%
If you plot it as
function of temperature,

01:08:43.370 --> 01:08:45.439 align:middle line:84%
it gets really confusing
which way it's going

01:08:45.439 --> 01:08:47.590 align:middle line:90%
and all that stuff.

01:08:47.590 --> 01:08:48.670 align:middle line:90%
All right.

01:08:48.670 --> 01:08:52.856 align:middle line:84%
Last question here, this
one is straightforward.

01:08:52.856 --> 01:08:55.189 align:middle line:84%
Basically, you just want to
prevent the formation of ice

01:08:55.189 --> 01:08:57.478 align:middle line:90%
crystals by amortizing it.

01:08:57.478 --> 01:08:59.270 align:middle line:84%
The interesting part
is that I was actually

01:08:59.270 --> 01:09:03.390 align:middle line:84%
reading about this
technology called cryonics.

01:09:03.390 --> 01:09:04.710 align:middle line:90%
Maybe you all heard of it.

01:09:04.710 --> 01:09:08.189 align:middle line:84%
It's also called, I
think, cryogenic sleep

01:09:08.189 --> 01:09:10.550 align:middle line:84%
or cryogenic hibernation,
which appears

01:09:10.550 --> 01:09:13.590 align:middle line:90%
in lots of science fiction.

01:09:13.590 --> 01:09:16.790 align:middle line:84%
Basically, it's saying if you
want to go into a hibernation

01:09:16.790 --> 01:09:18.710 align:middle line:84%
state, if you can
quickly freeze it,

01:09:18.710 --> 01:09:22.670 align:middle line:84%
then you can wake back
up after a few decades,

01:09:22.670 --> 01:09:24.250 align:middle line:90%
as long as you heat up.

01:09:24.250 --> 01:09:27.229 align:middle line:90%


01:09:27.229 --> 01:09:30.910 align:middle line:84%
Now, the biggest barrier
why that doesn't work

01:09:30.910 --> 01:09:33.270 align:middle line:90%
is because of crystallization.

01:09:33.270 --> 01:09:37.390 align:middle line:84%
So when you actually try
to freeze body fluids,

01:09:37.390 --> 01:09:39.513 align:middle line:84%
essentially it
forms ice crystals.

01:09:39.513 --> 01:09:41.430 align:middle line:84%
And these tiny little
sharp ice crystals, they

01:09:41.430 --> 01:09:44.310 align:middle line:84%
can pierce through the cell
membrane and then eventually

01:09:44.310 --> 01:09:46.390 align:middle line:84%
leading to it becoming
nonfunctional.

01:09:46.390 --> 01:09:51.189 align:middle line:84%
So the whole idea for
people working in that field

01:09:51.189 --> 01:09:53.790 align:middle line:84%
is to create some
material, some liquid,

01:09:53.790 --> 01:09:56.590 align:middle line:84%
that can go into a
glassy state as you

01:09:56.590 --> 01:09:58.230 align:middle line:90%
go to cryogenic temperature.

01:09:58.230 --> 01:10:00.110 align:middle line:84%
So when you go back up,
you prevent any kind

01:10:00.110 --> 01:10:02.270 align:middle line:90%
of formation of crystals.

01:10:02.270 --> 01:10:04.550 align:middle line:84%
So amorphization,
amorphous material

01:10:04.550 --> 01:10:07.830 align:middle line:84%
is quite important there, if
you want to realize essentially

01:10:07.830 --> 01:10:10.593 align:middle line:90%
eternal life through cryonics.

01:10:10.593 --> 01:10:12.510 align:middle line:84%
So that's why amorphous
material is important.

01:10:12.510 --> 01:10:13.530 align:middle line:90%
It's eternal.

01:10:13.530 --> 01:10:14.290 align:middle line:90%
We have seen that.

01:10:14.290 --> 01:10:19.125 align:middle line:90%


01:10:19.125 --> 01:10:20.250 align:middle line:90%
We still have five minutes.

01:10:20.250 --> 01:10:22.590 align:middle line:84%
I think I can
actually do the demo.

01:10:22.590 --> 01:10:25.730 align:middle line:84%
Now, this lecture is
about glass strengthening.

01:10:25.730 --> 01:10:28.310 align:middle line:84%
Next lecture is actually
about amorphous,

01:10:28.310 --> 01:10:32.070 align:middle line:90%
about metallic glasses.

01:10:32.070 --> 01:10:34.390 align:middle line:84%
I'm not going to go into
details there because we

01:10:34.390 --> 01:10:38.350 align:middle line:84%
don't have enough time, but
I can show you a little demo.

01:10:38.350 --> 01:10:43.130 align:middle line:84%
So metallic glasses has a lot
of unique mechanical attributes.

01:10:43.130 --> 01:10:47.310 align:middle line:84%
That's why I have a chapter
dedicated to metallic glasses.

01:10:47.310 --> 01:10:53.090 align:middle line:84%
So what I have here, on top this
is a sheet of metallic glass,

01:10:53.090 --> 01:10:54.630 align:middle line:90%
vitreloy.

01:10:54.630 --> 01:10:58.550 align:middle line:84%
It's sitting on
an aluminum truck.

01:10:58.550 --> 01:11:02.910 align:middle line:84%
I have with me a little bowl
made of stainless steel.

01:11:02.910 --> 01:11:05.750 align:middle line:84%
What I will do, I will let
it bounce back, initially

01:11:05.750 --> 01:11:08.350 align:middle line:84%
starting on, let it bounce
back on the aluminum.

01:11:08.350 --> 01:11:12.630 align:middle line:90%


01:11:12.630 --> 01:11:16.270 align:middle line:84%
OK, I'll do it
again, pretty boring.

01:11:16.270 --> 01:11:20.978 align:middle line:84%
OK, now I turn to the face
where I have metallic glass.

01:11:20.978 --> 01:11:22.270 align:middle line:90%
I'll do exactly the same thing.

01:11:22.270 --> 01:11:31.770 align:middle line:90%


01:11:31.770 --> 01:11:32.930 align:middle line:90%
I'll try again.

01:11:32.930 --> 01:11:43.750 align:middle line:90%


01:11:43.750 --> 01:11:45.190 align:middle line:90%
You can do aluminum again.

01:11:45.190 --> 01:11:46.850 align:middle line:84%
I don't know if it
was properly filmed.

01:11:46.850 --> 01:11:53.150 align:middle line:90%


01:11:53.150 --> 01:11:55.990 align:middle line:90%
Why do you see the difference?

01:11:55.990 --> 01:12:01.670 align:middle line:84%
AUDIENCE: Because the glasses
have really high modulus,

01:12:01.670 --> 01:12:03.430 align:middle line:90%
elastic modulus.

01:12:03.430 --> 01:12:05.110 align:middle line:84%
JUEJUN HU: What
limits the height

01:12:05.110 --> 01:12:06.890 align:middle line:90%
of the ball bouncing back?

01:12:06.890 --> 01:12:09.830 align:middle line:90%


01:12:09.830 --> 01:12:11.110 align:middle line:90%
AUDIENCE: Plastic deformation.

01:12:11.110 --> 01:12:12.100 align:middle line:90%
JUEJUN HU: OK.

01:12:12.100 --> 01:12:13.820 align:middle line:84%
What does plastic
deformation do?

01:12:13.820 --> 01:12:15.380 align:middle line:90%
AUDIENCE: It absorbs energy.

01:12:15.380 --> 01:12:16.240 align:middle line:90%
JUEJUN HU: Exactly.

01:12:16.240 --> 01:12:18.620 align:middle line:84%
If it absorbs energy, then
it doesn't bounce back

01:12:18.620 --> 01:12:21.220 align:middle line:90%
nearly as high.

01:12:21.220 --> 01:12:27.020 align:middle line:84%
The basic physics
behind it, it's

01:12:27.020 --> 01:12:30.777 align:middle line:84%
because aluminum, when actually
the ball impinge on the surface,

01:12:30.777 --> 01:12:32.360 align:middle line:84%
it causes lots of
plastic deformation.

01:12:32.360 --> 01:12:33.580 align:middle line:90%
That's why it causes dents.

01:12:33.580 --> 01:12:35.140 align:middle line:90%
It absorbs energy.

01:12:35.140 --> 01:12:38.780 align:middle line:84%
But for metallic glass, it
doesn't have a proper mechanism

01:12:38.780 --> 01:12:40.980 align:middle line:84%
to induce large
plastic deformation.

01:12:40.980 --> 01:12:43.420 align:middle line:84%
We mentioned about
this because it doesn't

01:12:43.420 --> 01:12:45.540 align:middle line:90%
have any kind of dislocations.

01:12:45.540 --> 01:12:47.620 align:middle line:84%
So you don't have the
typical dislocation motion

01:12:47.620 --> 01:12:49.960 align:middle line:84%
mechanism to actually
cause plastic deformation.

01:12:49.960 --> 01:12:51.660 align:middle line:84%
And that's why
metallic glasses tend

01:12:51.660 --> 01:12:54.220 align:middle line:84%
to have much higher elastic
limit and higher yield strength.

01:12:54.220 --> 01:12:56.175 align:middle line:84%
So this experiment
actually shows

01:12:56.175 --> 01:12:58.300 align:middle line:84%
what happens when you
actually have a material that

01:12:58.300 --> 01:12:59.720 align:middle line:90%
doesn't deform plastically.

01:12:59.720 --> 01:13:00.900 align:middle line:84%
Essentially, all the
energy gets stored

01:13:00.900 --> 01:13:02.400 align:middle line:84%
in the form of
elastic energy, so it

01:13:02.400 --> 01:13:07.020 align:middle line:84%
will bounce back with minimal
amount of internal damping.

01:13:07.020 --> 01:13:08.240 align:middle line:90%
I'm going to stop here.

01:13:08.240 --> 01:13:09.460 align:middle line:84%
And in the next
lecture, we are going

01:13:09.460 --> 01:13:11.710 align:middle line:84%
through more details about
the actual structural model

01:13:11.710 --> 01:13:14.260 align:middle line:84%
of amorphous metal and
its mechanical attributes.

01:13:14.260 --> 01:13:16.290 align:middle line:90%
All right, thank you.

01:13:16.290 --> 01:14:09.000 align:middle line:90%